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Finding the Fourth Proportional to 138,708.59, 191,417.78 and 78,291.90

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Solution

The fourth proportional to 138,708.59, 191,417.78 and 78,291.90 is: 108,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,708.59 : 191,417.78 = 78,291.90 : x
  2. Step 2: Convert to fraction form
    138,708.59/191,417.78 = 78,291.90/x
  3. Step 3: Cross multiply
    138,708.59x = 191,417.78 × 78,291.90
  4. Step 4: Simplify right side
    138,708.59x = 14,986,461,885.71
  5. Step 5: Solve for x
    x = 14,986,461,885.71/138,708.59
  6. Step 6: Final answer
    x = 108,042.79

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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.