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Finding the Fourth Proportional to 82,652.40, 123,978.60 and 54,658.80

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Solution

The fourth proportional to 82,652.40, 123,978.60 and 54,658.80 is: 81,988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,652.40 : 123,978.60 = 54,658.80 : x
  2. Step 2: Convert to fraction form
    82,652.40/123,978.60 = 54,658.80/x
  3. Step 3: Cross multiply
    82,652.40x = 123,978.60 × 54,658.80
  4. Step 4: Simplify right side
    82,652.40x = 6,776,521,501.68
  5. Step 5: Solve for x
    x = 6,776,521,501.68/82,652.40
  6. Step 6: Final answer
    x = 81,988.20

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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.