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Finding the Fourth Proportional to 85,487.64, 128,116.84 and 66,535.16

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Solution

The fourth proportional to 85,487.64, 128,116.84 and 66,535.16 is: 99,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,487.64 : 128,116.84 = 66,535.16 : x
  2. Step 2: Convert to fraction form
    85,487.64/128,116.84 = 66,535.16/x
  3. Step 3: Cross multiply
    85,487.64x = 128,116.84 × 66,535.16
  4. Step 4: Simplify right side
    85,487.64x = 8,524,274,448.09
  5. Step 5: Solve for x
    x = 8,524,274,448.09/85,487.64
  6. Step 6: Final answer
    x = 99,713.53

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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.