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Finding the Fourth Proportional to 80,787, 111,494.70 and 47,281.08

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Solution

The fourth proportional to 80,787, 111,494.70 and 47,281.08 is: 65,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,787 : 111,494.70 = 47,281.08 : x
  2. Step 2: Convert to fraction form
    80,787/111,494.70 = 47,281.08/x
  3. Step 3: Cross multiply
    80,787x = 111,494.70 × 47,281.08
  4. Step 4: Simplify right side
    80,787x = 5,271,589,830.28
  5. Step 5: Solve for x
    x = 5,271,589,830.28/80,787
  6. Step 6: Final answer
    x = 65,252.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.