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Finding the Fourth Proportional to 83,771.76, 125,569.80 and 31,148.40

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Solution

The fourth proportional to 83,771.76, 125,569.80 and 31,148.40 is: 46,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,771.76 : 125,569.80 = 31,148.40 : x
  2. Step 2: Convert to fraction form
    83,771.76/125,569.80 = 31,148.40/x
  3. Step 3: Cross multiply
    83,771.76x = 125,569.80 × 31,148.40
  4. Step 4: Simplify right side
    83,771.76x = 3,911,298,358.32
  5. Step 5: Solve for x
    x = 3,911,298,358.32/83,771.76
  6. Step 6: Final answer
    x = 46,689.94

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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.