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Finding the Fourth Proportional to 138,881.39, 191,655.72 and 77,627.50

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Solution

The fourth proportional to 138,881.39, 191,655.72 and 77,627.50 is: 107,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,881.39 : 191,655.72 = 77,627.50 : x
  2. Step 2: Convert to fraction form
    138,881.39/191,655.72 = 77,627.50/x
  3. Step 3: Cross multiply
    138,881.39x = 191,655.72 × 77,627.50
  4. Step 4: Simplify right side
    138,881.39x = 14,877,754,404.30
  5. Step 5: Solve for x
    x = 14,877,754,404.30/138,881.39
  6. Step 6: Final answer
    x = 107,125.62

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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.