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Finding the Fourth Proportional to 137,329.92, 205,915.44 and 42,534.78

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Solution

The fourth proportional to 137,329.92, 205,915.44 and 42,534.78 is: 63,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,329.92 : 205,915.44 = 42,534.78 : x
  2. Step 2: Convert to fraction form
    137,329.92/205,915.44 = 42,534.78/x
  3. Step 3: Cross multiply
    137,329.92x = 205,915.44 × 42,534.78
  4. Step 4: Simplify right side
    137,329.92x = 8,758,567,939.00
  5. Step 5: Solve for x
    x = 8,758,567,939.00/137,329.92
  6. Step 6: Final answer
    x = 63,777.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.