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Finding the Fourth Proportional to 82,726.80, 123,953.40 and 47,605.20

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Solution

The fourth proportional to 82,726.80, 123,953.40 and 47,605.20 is: 71,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,726.80 : 123,953.40 = 47,605.20 : x
  2. Step 2: Convert to fraction form
    82,726.80/123,953.40 = 47,605.20/x
  3. Step 3: Cross multiply
    82,726.80x = 123,953.40 × 47,605.20
  4. Step 4: Simplify right side
    82,726.80x = 5,900,826,397.68
  5. Step 5: Solve for x
    x = 5,900,826,397.68/82,726.80
  6. Step 6: Final answer
    x = 71,329.08

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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.