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Finding the Fourth Proportional to 138,047.29, 206,701.88 and 78,801.46

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Solution

The fourth proportional to 138,047.29, 206,701.88 and 78,801.46 is: 117,991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,047.29 : 206,701.88 = 78,801.46 : x
  2. Step 2: Convert to fraction form
    138,047.29/206,701.88 = 78,801.46/x
  3. Step 3: Cross multiply
    138,047.29x = 206,701.88 × 78,801.46
  4. Step 4: Simplify right side
    138,047.29x = 16,288,409,017.98
  5. Step 5: Solve for x
    x = 16,288,409,017.98/138,047.29
  6. Step 6: Final answer
    x = 117,991.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.