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Finding the Fourth Proportional to 100,023.80, 137,811.30 and 65,972.20

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Solution

The fourth proportional to 100,023.80, 137,811.30 and 65,972.20 is: 90,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,023.80 : 137,811.30 = 65,972.20 : x
  2. Step 2: Convert to fraction form
    100,023.80/137,811.30 = 65,972.20/x
  3. Step 3: Cross multiply
    100,023.80x = 137,811.30 × 65,972.20
  4. Step 4: Simplify right side
    100,023.80x = 9,091,714,645.86
  5. Step 5: Solve for x
    x = 9,091,714,645.86/100,023.80
  6. Step 6: Final answer
    x = 90,895.51

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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.