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Finding the Fourth Proportional to 135,675, 187,233.84 and 75,248.28

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Solution

The fourth proportional to 135,675, 187,233.84 and 75,248.28 is: 103,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,675 : 187,233.84 = 75,248.28 : x
  2. Step 2: Convert to fraction form
    135,675/187,233.84 = 75,248.28/x
  3. Step 3: Cross multiply
    135,675x = 187,233.84 × 75,248.28
  4. Step 4: Simplify right side
    135,675x = 14,089,024,417.80
  5. Step 5: Solve for x
    x = 14,089,024,417.80/135,675
  6. Step 6: Final answer
    x = 103,843.92

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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.