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Finding the Fourth Proportional to 72,909.18, 109,363.77 and 20,319.12

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Solution

The fourth proportional to 72,909.18, 109,363.77 and 20,319.12 is: 30,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,909.18 : 109,363.77 = 20,319.12 : x
  2. Step 2: Convert to fraction form
    72,909.18/109,363.77 = 20,319.12/x
  3. Step 3: Cross multiply
    72,909.18x = 109,363.77 × 20,319.12
  4. Step 4: Simplify right side
    72,909.18x = 2,222,175,566.28
  5. Step 5: Solve for x
    x = 2,222,175,566.28/72,909.18
  6. Step 6: Final answer
    x = 30,478.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.