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Finding the Fourth Proportional to 82,643.20, 123,964.80 and 71,708.20

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Solution

The fourth proportional to 82,643.20, 123,964.80 and 71,708.20 is: 107,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,643.20 : 123,964.80 = 71,708.20 : x
  2. Step 2: Convert to fraction form
    82,643.20/123,964.80 = 71,708.20/x
  3. Step 3: Cross multiply
    82,643.20x = 123,964.80 × 71,708.20
  4. Step 4: Simplify right side
    82,643.20x = 8,889,292,671.36
  5. Step 5: Solve for x
    x = 8,889,292,671.36/82,643.20
  6. Step 6: Final answer
    x = 107,562.30

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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.