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Finding the Fourth Proportional to 135,885, 187,543.68 and 75,475.20

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Solution

The fourth proportional to 135,885, 187,543.68 and 75,475.20 is: 104,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,885 : 187,543.68 = 75,475.20 : x
  2. Step 2: Convert to fraction form
    135,885/187,543.68 = 75,475.20/x
  3. Step 3: Cross multiply
    135,885x = 187,543.68 × 75,475.20
  4. Step 4: Simplify right side
    135,885x = 14,154,896,756.74
  5. Step 5: Solve for x
    x = 14,154,896,756.74/135,885
  6. Step 6: Final answer
    x = 104,168.21

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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.