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Finding the Fourth Proportional to 80,188.80, 120,219.12 and 38,047.68

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Solution

The fourth proportional to 80,188.80, 120,219.12 and 38,047.68 is: 57,041.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,188.80 : 120,219.12 = 38,047.68 : x
  2. Step 2: Convert to fraction form
    80,188.80/120,219.12 = 38,047.68/x
  3. Step 3: Cross multiply
    80,188.80x = 120,219.12 × 38,047.68
  4. Step 4: Simplify right side
    80,188.80x = 4,574,058,607.64
  5. Step 5: Solve for x
    x = 4,574,058,607.64/80,188.80
  6. Step 6: Final answer
    x = 57,041.12

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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.