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Finding the Fourth Proportional to 138,129.66, 190,635.78 and 77,702.85

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Solution

The fourth proportional to 138,129.66, 190,635.78 and 77,702.85 is: 107,239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,129.66 : 190,635.78 = 77,702.85 : x
  2. Step 2: Convert to fraction form
    138,129.66/190,635.78 = 77,702.85/x
  3. Step 3: Cross multiply
    138,129.66x = 190,635.78 × 77,702.85
  4. Step 4: Simplify right side
    138,129.66x = 14,812,943,417.97
  5. Step 5: Solve for x
    x = 14,812,943,417.97/138,129.66
  6. Step 6: Final answer
    x = 107,239.41

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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.