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Finding the Fourth Proportional to 138,691.81, 191,399.61 and 78,258.93

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Solution

The fourth proportional to 138,691.81, 191,399.61 and 78,258.93 is: 108,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,691.81 : 191,399.61 = 78,258.93 : x
  2. Step 2: Convert to fraction form
    138,691.81/191,399.61 = 78,258.93/x
  3. Step 3: Cross multiply
    138,691.81x = 191,399.61 × 78,258.93
  4. Step 4: Simplify right side
    138,691.81x = 14,978,727,816.53
  5. Step 5: Solve for x
    x = 14,978,727,816.53/138,691.81
  6. Step 6: Final answer
    x = 108,000.09

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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.