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Finding the Fourth Proportional to 137,505.52, 189,766.38 and 77,076.17

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Solution

The fourth proportional to 137,505.52, 189,766.38 and 77,076.17 is: 106,370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,505.52 : 189,766.38 = 77,076.17 : x
  2. Step 2: Convert to fraction form
    137,505.52/189,766.38 = 77,076.17/x
  3. Step 3: Cross multiply
    137,505.52x = 189,766.38 × 77,076.17
  4. Step 4: Simplify right side
    137,505.52x = 14,626,466,239.58
  5. Step 5: Solve for x
    x = 14,626,466,239.58/137,505.52
  6. Step 6: Final answer
    x = 106,370.03

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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.