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Finding the Fourth Proportional to 83,615.60, 115,380.84 and 47,321.12

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Solution

The fourth proportional to 83,615.60, 115,380.84 and 47,321.12 is: 65,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,615.60 : 115,380.84 = 47,321.12 : x
  2. Step 2: Convert to fraction form
    83,615.60/115,380.84 = 47,321.12/x
  3. Step 3: Cross multiply
    83,615.60x = 115,380.84 × 47,321.12
  4. Step 4: Simplify right side
    83,615.60x = 5,459,950,575.34
  5. Step 5: Solve for x
    x = 5,459,950,575.34/83,615.60
  6. Step 6: Final answer
    x = 65,298.23

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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.