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Finding the Fourth Proportional to 72,761.57, 100,423.22 and 42,130.20

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Solution

The fourth proportional to 72,761.57, 100,423.22 and 42,130.20 is: 58,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,761.57 : 100,423.22 = 42,130.20 : x
  2. Step 2: Convert to fraction form
    72,761.57/100,423.22 = 42,130.20/x
  3. Step 3: Cross multiply
    72,761.57x = 100,423.22 × 42,130.20
  4. Step 4: Simplify right side
    72,761.57x = 4,230,850,132.59
  5. Step 5: Solve for x
    x = 4,230,850,132.59/72,761.57
  6. Step 6: Final answer
    x = 58,146.77

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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.