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Finding the Fourth Proportional to 47,712.80, 71,482.80 and 40,282.40

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Solution

The fourth proportional to 47,712.80, 71,482.80 and 40,282.40 is: 60,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712.80 : 71,482.80 = 40,282.40 : x
  2. Step 2: Convert to fraction form
    47,712.80/71,482.80 = 40,282.40/x
  3. Step 3: Cross multiply
    47,712.80x = 71,482.80 × 40,282.40
  4. Step 4: Simplify right side
    47,712.80x = 2,879,498,742.72
  5. Step 5: Solve for x
    x = 2,879,498,742.72/47,712.80
  6. Step 6: Final answer
    x = 60,350.66

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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.