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Finding the Fourth Proportional to 84,257.28, 116,259.84 and 54,432

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Solution

The fourth proportional to 84,257.28, 116,259.84 and 54,432 is: 75,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,257.28 : 116,259.84 = 54,432 : x
  2. Step 2: Convert to fraction form
    84,257.28/116,259.84 = 54,432/x
  3. Step 3: Cross multiply
    84,257.28x = 116,259.84 × 54,432
  4. Step 4: Simplify right side
    84,257.28x = 6,328,255,610.88
  5. Step 5: Solve for x
    x = 6,328,255,610.88/84,257.28
  6. Step 6: Final answer
    x = 75,106.34

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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.