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Finding the Fourth Proportional to 129,084.79, 178,136.41 and 71,733.45

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Solution

The fourth proportional to 129,084.79, 178,136.41 and 71,733.45 is: 98,991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,084.79 : 178,136.41 = 71,733.45 : x
  2. Step 2: Convert to fraction form
    129,084.79/178,136.41 = 71,733.45/x
  3. Step 3: Cross multiply
    129,084.79x = 178,136.41 × 71,733.45
  4. Step 4: Simplify right side
    129,084.79x = 12,778,339,259.91
  5. Step 5: Solve for x
    x = 12,778,339,259.91/129,084.79
  6. Step 6: Final answer
    x = 98,991.83

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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.