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Finding the Fourth Proportional to 212,686,064.10, 319,029,096.15 and 212,686,064.10

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Solution

The fourth proportional to 212,686,064.10, 319,029,096.15 and 212,686,064.10 is: 319,029,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,686,064.10 : 319,029,096.15 = 212,686,064.10 : x
  2. Step 2: Convert to fraction form
    212,686,064.10/319,029,096.15 = 212,686,064.10/x
  3. Step 3: Cross multiply
    212,686,064.10x = 319,029,096.15 × 212,686,064.10
  4. Step 4: Simplify right side
    212,686,064.10x = 67,853,042,793,523,960
  5. Step 5: Solve for x
    x = 67,853,042,793,523,960/212,686,064.10
  6. Step 6: Final answer
    x = 319,029,096.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.