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Finding the Fourth Proportional to 82,215.80, 123,323.70 and 47,126.60

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Solution

The fourth proportional to 82,215.80, 123,323.70 and 47,126.60 is: 70,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,215.80 : 123,323.70 = 47,126.60 : x
  2. Step 2: Convert to fraction form
    82,215.80/123,323.70 = 47,126.60/x
  3. Step 3: Cross multiply
    82,215.80x = 123,323.70 × 47,126.60
  4. Step 4: Simplify right side
    82,215.80x = 5,811,826,680.42
  5. Step 5: Solve for x
    x = 5,811,826,680.42/82,215.80
  6. Step 6: Final answer
    x = 70,689.90

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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.