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Finding the Fourth Proportional to 212,890.40, 319,317.60 and 65,146.40

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Solution

The fourth proportional to 212,890.40, 319,317.60 and 65,146.40 is: 97,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,890.40 : 319,317.60 = 65,146.40 : x
  2. Step 2: Convert to fraction form
    212,890.40/319,317.60 = 65,146.40/x
  3. Step 3: Cross multiply
    212,890.40x = 319,317.60 × 65,146.40
  4. Step 4: Simplify right side
    212,890.40x = 20,802,392,096.64
  5. Step 5: Solve for x
    x = 20,802,392,096.64/212,890.40
  6. Step 6: Final answer
    x = 97,714.09

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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.