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Finding the Fourth Proportional to 138,886.50, 191,675.16 and 78,468.24

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Solution

The fourth proportional to 138,886.50, 191,675.16 and 78,468.24 is: 108,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,886.50 : 191,675.16 = 78,468.24 : x
  2. Step 2: Convert to fraction form
    138,886.50/191,675.16 = 78,468.24/x
  3. Step 3: Cross multiply
    138,886.50x = 191,675.16 × 78,468.24
  4. Step 4: Simplify right side
    138,886.50x = 15,040,412,456.92
  5. Step 5: Solve for x
    x = 15,040,412,456.92/138,886.50
  6. Step 6: Final answer
    x = 108,292.83

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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.