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Finding the Fourth Proportional to 83,920.90, 125,883.04 and 31,319.90

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Solution

The fourth proportional to 83,920.90, 125,883.04 and 31,319.90 is: 46,980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,920.90 : 125,883.04 = 31,319.90 : x
  2. Step 2: Convert to fraction form
    83,920.90/125,883.04 = 31,319.90/x
  3. Step 3: Cross multiply
    83,920.90x = 125,883.04 × 31,319.90
  4. Step 4: Simplify right side
    83,920.90x = 3,942,644,224.50
  5. Step 5: Solve for x
    x = 3,942,644,224.50/83,920.90
  6. Step 6: Final answer
    x = 46,980.48

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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.