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Finding the Fourth Proportional to 100,686.39, 138,742.52 and 77,886.92

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Solution

The fourth proportional to 100,686.39, 138,742.52 and 77,886.92 is: 107,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,686.39 : 138,742.52 = 77,886.92 : x
  2. Step 2: Convert to fraction form
    100,686.39/138,742.52 = 77,886.92/x
  3. Step 3: Cross multiply
    100,686.39x = 138,742.52 × 77,886.92
  4. Step 4: Simplify right side
    100,686.39x = 10,806,226,472.69
  5. Step 5: Solve for x
    x = 10,806,226,472.69/100,686.39
  6. Step 6: Final answer
    x = 107,325.59

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1.5x scale

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.