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Finding the Fourth Proportional to 47,314.80, 70,972.20 and 45,127.80

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Solution

The fourth proportional to 47,314.80, 70,972.20 and 45,127.80 is: 67,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,314.80 : 70,972.20 = 45,127.80 : x
  2. Step 2: Convert to fraction form
    47,314.80/70,972.20 = 45,127.80/x
  3. Step 3: Cross multiply
    47,314.80x = 70,972.20 × 45,127.80
  4. Step 4: Simplify right side
    47,314.80x = 3,202,819,247.16
  5. Step 5: Solve for x
    x = 3,202,819,247.16/47,314.80
  6. Step 6: Final answer
    x = 67,691.70

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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.