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Finding the Fourth Proportional to 138,871.61, 191,642.64 and 75,209.66

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Solution

The fourth proportional to 138,871.61, 191,642.64 and 75,209.66 is: 103,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,871.61 : 191,642.64 = 75,209.66 : x
  2. Step 2: Convert to fraction form
    138,871.61/191,642.64 = 75,209.66/x
  3. Step 3: Cross multiply
    138,871.61x = 191,642.64 × 75,209.66
  4. Step 4: Simplify right side
    138,871.61x = 14,413,377,697.37
  5. Step 5: Solve for x
    x = 14,413,377,697.37/138,871.61
  6. Step 6: Final answer
    x = 103,789.23

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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.