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Finding the Fourth Proportional to 137,780.97, 190,124.61 and 77,337.76

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Solution

The fourth proportional to 137,780.97, 190,124.61 and 77,337.76 is: 106,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,780.97 : 190,124.61 = 77,337.76 : x
  2. Step 2: Convert to fraction form
    137,780.97/190,124.61 = 77,337.76/x
  3. Step 3: Cross multiply
    137,780.97x = 190,124.61 × 77,337.76
  4. Step 4: Simplify right side
    137,780.97x = 14,703,811,071.58
  5. Step 5: Solve for x
    x = 14,703,811,071.58/137,780.97
  6. Step 6: Final answer
    x = 106,718.74

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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.