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Finding the Fourth Proportional to 83,786, 125,701.68 and 28,382

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Solution

The fourth proportional to 83,786, 125,701.68 and 28,382 is: 42,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,786 : 125,701.68 = 28,382 : x
  2. Step 2: Convert to fraction form
    83,786/125,701.68 = 28,382/x
  3. Step 3: Cross multiply
    83,786x = 125,701.68 × 28,382
  4. Step 4: Simplify right side
    83,786x = 3,567,665,081.76
  5. Step 5: Solve for x
    x = 3,567,665,081.76/83,786
  6. Step 6: Final answer
    x = 42,580.68

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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.