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Finding the Fourth Proportional to 129,457.71, 178,656.03 and 71,311.86

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Solution

The fourth proportional to 129,457.71, 178,656.03 and 71,311.86 is: 98,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,457.71 : 178,656.03 = 71,311.86 : x
  2. Step 2: Convert to fraction form
    129,457.71/178,656.03 = 71,311.86/x
  3. Step 3: Cross multiply
    129,457.71x = 178,656.03 × 71,311.86
  4. Step 4: Simplify right side
    129,457.71x = 12,740,293,799.52
  5. Step 5: Solve for x
    x = 12,740,293,799.52/129,457.71
  6. Step 6: Final answer
    x = 98,412.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.