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Finding the Fourth Proportional to 138,862.26, 191,630.52 and 75,200.13

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Solution

The fourth proportional to 138,862.26, 191,630.52 and 75,200.13 is: 103,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,862.26 : 191,630.52 = 75,200.13 : x
  2. Step 2: Convert to fraction form
    138,862.26/191,630.52 = 75,200.13/x
  3. Step 3: Cross multiply
    138,862.26x = 191,630.52 × 75,200.13
  4. Step 4: Simplify right side
    138,862.26x = 14,410,640,015.97
  5. Step 5: Solve for x
    x = 14,410,640,015.97/138,862.26
  6. Step 6: Final answer
    x = 103,776.50

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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.