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Finding the Fourth Proportional to 224,732.61, 310,193.55 and 129,270.06

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Solution

The fourth proportional to 224,732.61, 310,193.55 and 129,270.06 is: 178,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,732.61 : 310,193.55 = 129,270.06 : x
  2. Step 2: Convert to fraction form
    224,732.61/310,193.55 = 129,270.06/x
  3. Step 3: Cross multiply
    224,732.61x = 310,193.55 × 129,270.06
  4. Step 4: Simplify right side
    224,732.61x = 40,098,738,820.11
  5. Step 5: Solve for x
    x = 40,098,738,820.11/224,732.61
  6. Step 6: Final answer
    x = 178,428.66

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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.