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Finding the Fourth Proportional to 83,920.90, 115,820.73 and 47,133.17

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Solution

The fourth proportional to 83,920.90, 115,820.73 and 47,133.17 is: 65,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,920.90 : 115,820.73 = 47,133.17 : x
  2. Step 2: Convert to fraction form
    83,920.90/115,820.73 = 47,133.17/x
  3. Step 3: Cross multiply
    83,920.90x = 115,820.73 × 47,133.17
  4. Step 4: Simplify right side
    83,920.90x = 5,458,998,156.61
  5. Step 5: Solve for x
    x = 5,458,998,156.61/83,920.90
  6. Step 6: Final answer
    x = 65,049.33

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1.5x scale

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.