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Finding the Fourth Proportional to 137,294.53, 189,484.32 and 76,888.24

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Solution

The fourth proportional to 137,294.53, 189,484.32 and 76,888.24 is: 106,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,294.53 : 189,484.32 = 76,888.24 : x
  2. Step 2: Convert to fraction form
    137,294.53/189,484.32 = 76,888.24/x
  3. Step 3: Cross multiply
    137,294.53x = 189,484.32 × 76,888.24
  4. Step 4: Simplify right side
    137,294.53x = 14,569,115,872.40
  5. Step 5: Solve for x
    x = 14,569,115,872.40/137,294.53
  6. Step 6: Final answer
    x = 106,115.78

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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.