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Finding the Fourth Proportional to 210,902.59, 316,386.68 and 68,714.78

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Solution

The fourth proportional to 210,902.59, 316,386.68 and 68,714.78 is: 103,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,902.59 : 316,386.68 = 68,714.78 : x
  2. Step 2: Convert to fraction form
    210,902.59/316,386.68 = 68,714.78/x
  3. Step 3: Cross multiply
    210,902.59x = 316,386.68 × 68,714.78
  4. Step 4: Simplify right side
    210,902.59x = 21,740,441,545.08
  5. Step 5: Solve for x
    x = 21,740,441,545.08/210,902.59
  6. Step 6: Final answer
    x = 103,082.86

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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.