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Finding the Fourth Proportional to 57,242.84, 85,863.28 and 15,689.84

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Solution

The fourth proportional to 57,242.84, 85,863.28 and 15,689.84 is: 23,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242.84 : 85,863.28 = 15,689.84 : x
  2. Step 2: Convert to fraction form
    57,242.84/85,863.28 = 15,689.84/x
  3. Step 3: Cross multiply
    57,242.84x = 85,863.28 × 15,689.84
  4. Step 4: Simplify right side
    57,242.84x = 1,347,181,125.08
  5. Step 5: Solve for x
    x = 1,347,181,125.08/57,242.84
  6. Step 6: Final answer
    x = 23,534.49

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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.