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Finding the Fourth Proportional to 85,489.68, 128,244.24 and 29,334

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Solution

The fourth proportional to 85,489.68, 128,244.24 and 29,334 is: 44,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,489.68 : 128,244.24 = 29,334 : x
  2. Step 2: Convert to fraction form
    85,489.68/128,244.24 = 29,334/x
  3. Step 3: Cross multiply
    85,489.68x = 128,244.24 × 29,334
  4. Step 4: Simplify right side
    85,489.68x = 3,761,916,536.16
  5. Step 5: Solve for x
    x = 3,761,916,536.16/85,489.68
  6. Step 6: Final answer
    x = 44,004.34

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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.