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Finding the Fourth Proportional to 82,152.80, 123,286.80 and 52,642.40

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Solution

The fourth proportional to 82,152.80, 123,286.80 and 52,642.40 is: 79,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,152.80 : 123,286.80 = 52,642.40 : x
  2. Step 2: Convert to fraction form
    82,152.80/123,286.80 = 52,642.40/x
  3. Step 3: Cross multiply
    82,152.80x = 123,286.80 × 52,642.40
  4. Step 4: Simplify right side
    82,152.80x = 6,490,113,040.32
  5. Step 5: Solve for x
    x = 6,490,113,040.32/82,152.80
  6. Step 6: Final answer
    x = 79,000.51

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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.