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Finding the Fourth Proportional to 83,640.71, 115,396.02 and 53,443.68

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Solution

The fourth proportional to 83,640.71, 115,396.02 and 53,443.68 is: 73,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,640.71 : 115,396.02 = 53,443.68 : x
  2. Step 2: Convert to fraction form
    83,640.71/115,396.02 = 53,443.68/x
  3. Step 3: Cross multiply
    83,640.71x = 115,396.02 × 53,443.68
  4. Step 4: Simplify right side
    83,640.71x = 6,167,187,966.15
  5. Step 5: Solve for x
    x = 6,167,187,966.15/83,640.71
  6. Step 6: Final answer
    x = 73,734.29

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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.