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Finding the Fourth Proportional to 129,463.49, 178,353.31 and 123,484.47

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Solution

The fourth proportional to 129,463.49, 178,353.31 and 123,484.47 is: 170,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,463.49 : 178,353.31 = 123,484.47 : x
  2. Step 2: Convert to fraction form
    129,463.49/178,353.31 = 123,484.47/x
  3. Step 3: Cross multiply
    129,463.49x = 178,353.31 × 123,484.47
  4. Step 4: Simplify right side
    129,463.49x = 22,023,863,958.10
  5. Step 5: Solve for x
    x = 22,023,863,958.10/129,463.49
  6. Step 6: Final answer
    x = 170,116.41

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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.