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Finding the Fourth Proportional to 135,671.83, 187,214.76 and 75,242.30

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Solution

The fourth proportional to 135,671.83, 187,214.76 and 75,242.30 is: 103,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,671.83 : 187,214.76 = 75,242.30 : x
  2. Step 2: Convert to fraction form
    135,671.83/187,214.76 = 75,242.30/x
  3. Step 3: Cross multiply
    135,671.83x = 187,214.76 × 75,242.30
  4. Step 4: Simplify right side
    135,671.83x = 14,086,468,200.27
  5. Step 5: Solve for x
    x = 14,086,468,200.27/135,671.83
  6. Step 6: Final answer
    x = 103,827.51

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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.