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Finding the Fourth Proportional to 137,397, 189,607.86 and 77,781

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Solution

The fourth proportional to 137,397, 189,607.86 and 77,781 is: 107,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,397 : 189,607.86 = 77,781 : x
  2. Step 2: Convert to fraction form
    137,397/189,607.86 = 77,781/x
  3. Step 3: Cross multiply
    137,397x = 189,607.86 × 77,781
  4. Step 4: Simplify right side
    137,397x = 14,747,888,958.66
  5. Step 5: Solve for x
    x = 14,747,888,958.66/137,397
  6. Step 6: Final answer
    x = 107,337.78

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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.