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Finding the Fourth Proportional to 83,901.76, 115,689.60 and 64,738.24

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Solution

The fourth proportional to 83,901.76, 115,689.60 and 64,738.24 is: 89,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,901.76 : 115,689.60 = 64,738.24 : x
  2. Step 2: Convert to fraction form
    83,901.76/115,689.60 = 64,738.24/x
  3. Step 3: Cross multiply
    83,901.76x = 115,689.60 × 64,738.24
  4. Step 4: Simplify right side
    83,901.76x = 7,489,541,090.30
  5. Step 5: Solve for x
    x = 7,489,541,090.30/83,901.76
  6. Step 6: Final answer
    x = 89,265.60

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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.