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Finding the Fourth Proportional to 224,571.16, 309,931.14 and 129,081.88

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Solution

The fourth proportional to 224,571.16, 309,931.14 and 129,081.88 is: 178,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,571.16 : 309,931.14 = 129,081.88 : x
  2. Step 2: Convert to fraction form
    224,571.16/309,931.14 = 129,081.88/x
  3. Step 3: Cross multiply
    224,571.16x = 309,931.14 × 129,081.88
  4. Step 4: Simplify right side
    224,571.16x = 40,006,494,221.74
  5. Step 5: Solve for x
    x = 40,006,494,221.74/224,571.16
  6. Step 6: Final answer
    x = 178,146.18

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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.