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Finding the Fourth Proportional to 212,149.67, 318,141.14 and 77,181.66

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Solution

The fourth proportional to 212,149.67, 318,141.14 and 77,181.66 is: 115,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,149.67 : 318,141.14 = 77,181.66 : x
  2. Step 2: Convert to fraction form
    212,149.67/318,141.14 = 77,181.66/x
  3. Step 3: Cross multiply
    212,149.67x = 318,141.14 × 77,181.66
  4. Step 4: Simplify right side
    212,149.67x = 24,554,660,913.58
  5. Step 5: Solve for x
    x = 24,554,660,913.58/212,149.67
  6. Step 6: Final answer
    x = 115,742.16

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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.