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Finding the Fourth Proportional to 135,820.59, 187,454.61 and 75,410.79

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Solution

The fourth proportional to 135,820.59, 187,454.61 and 75,410.79 is: 104,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,820.59 : 187,454.61 = 75,410.79 : x
  2. Step 2: Convert to fraction form
    135,820.59/187,454.61 = 75,410.79/x
  3. Step 3: Cross multiply
    135,820.59x = 187,454.61 × 75,410.79
  4. Step 4: Simplify right side
    135,820.59x = 14,136,100,229.24
  5. Step 5: Solve for x
    x = 14,136,100,229.24/135,820.59
  6. Step 6: Final answer
    x = 104,079.21

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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.