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Finding the Fourth Proportional to 137,478.52, 189,663.66 and 89,714.68

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Solution

The fourth proportional to 137,478.52, 189,663.66 and 89,714.68 is: 123,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,478.52 : 189,663.66 = 89,714.68 : x
  2. Step 2: Convert to fraction form
    137,478.52/189,663.66 = 89,714.68/x
  3. Step 3: Cross multiply
    137,478.52x = 189,663.66 × 89,714.68
  4. Step 4: Simplify right side
    137,478.52x = 17,015,614,564.53
  5. Step 5: Solve for x
    x = 17,015,614,564.53/137,478.52
  6. Step 6: Final answer
    x = 123,769.26

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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.