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Finding the Fourth Proportional to 47,713.20, 66,711 and 47,713.20

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Solution

The fourth proportional to 47,713.20, 66,711 and 47,713.20 is: 66,711

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,713.20 : 66,711 = 47,713.20 : x
  2. Step 2: Convert to fraction form
    47,713.20/66,711 = 47,713.20/x
  3. Step 3: Cross multiply
    47,713.20x = 66,711 × 47,713.20
  4. Step 4: Simplify right side
    47,713.20x = 3,182,995,285.20
  5. Step 5: Solve for x
    x = 3,182,995,285.20/47,713.20
  6. Step 6: Final answer
    x = 66,711

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.