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Finding the Fourth Proportional to 83,633.64, 115,459.20 and 64,471.56

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Solution

The fourth proportional to 83,633.64, 115,459.20 and 64,471.56 is: 89,005.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,633.64 : 115,459.20 = 64,471.56 : x
  2. Step 2: Convert to fraction form
    83,633.64/115,459.20 = 64,471.56/x
  3. Step 3: Cross multiply
    83,633.64x = 115,459.20 × 64,471.56
  4. Step 4: Simplify right side
    83,633.64x = 7,443,834,740.35
  5. Step 5: Solve for x
    x = 7,443,834,740.35/83,633.64
  6. Step 6: Final answer
    x = 89,005.27

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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.