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Finding the Fourth Proportional to 138,708.71, 191,417.95 and 78,292.03

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Solution

The fourth proportional to 138,708.71, 191,417.95 and 78,292.03 is: 108,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,708.71 : 191,417.95 = 78,292.03 : x
  2. Step 2: Convert to fraction form
    138,708.71/191,417.95 = 78,292.03/x
  3. Step 3: Cross multiply
    138,708.71x = 191,417.95 × 78,292.03
  4. Step 4: Simplify right side
    138,708.71x = 14,986,499,883.94
  5. Step 5: Solve for x
    x = 14,986,499,883.94/138,708.71
  6. Step 6: Final answer
    x = 108,042.96

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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.