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Finding the Fourth Proportional to 100,687.39, 138,743.89 and 77,887.92

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Solution

The fourth proportional to 100,687.39, 138,743.89 and 77,887.92 is: 107,326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,687.39 : 138,743.89 = 77,887.92 : x
  2. Step 2: Convert to fraction form
    100,687.39/138,743.89 = 77,887.92/x
  3. Step 3: Cross multiply
    100,687.39x = 138,743.89 × 77,887.92
  4. Step 4: Simplify right side
    100,687.39x = 10,806,473,004.81
  5. Step 5: Solve for x
    x = 10,806,473,004.81/100,687.39
  6. Step 6: Final answer
    x = 107,326.98

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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.