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Finding the Fourth Proportional to 83,448, 115,167.88 and 47,643.12

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Solution

The fourth proportional to 83,448, 115,167.88 and 47,643.12 is: 65,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,448 : 115,167.88 = 47,643.12 : x
  2. Step 2: Convert to fraction form
    83,448/115,167.88 = 47,643.12/x
  3. Step 3: Cross multiply
    83,448x = 115,167.88 × 47,643.12
  4. Step 4: Simplify right side
    83,448x = 5,486,957,126.99
  5. Step 5: Solve for x
    x = 5,486,957,126.99/83,448
  6. Step 6: Final answer
    x = 65,753.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.