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Finding the Fourth Proportional to 137,947.48, 190,344.48 and 81,370.04

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Solution

The fourth proportional to 137,947.48, 190,344.48 and 81,370.04 is: 112,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,947.48 : 190,344.48 = 81,370.04 : x
  2. Step 2: Convert to fraction form
    137,947.48/190,344.48 = 81,370.04/x
  3. Step 3: Cross multiply
    137,947.48x = 190,344.48 × 81,370.04
  4. Step 4: Simplify right side
    137,947.48x = 15,488,337,951.38
  5. Step 5: Solve for x
    x = 15,488,337,951.38/137,947.48
  6. Step 6: Final answer
    x = 112,277.06

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1.5x scale

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.