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Finding the Fourth Proportional to 115,876.88, 159,912.36 and 75,616.40

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Solution

The fourth proportional to 115,876.88, 159,912.36 and 75,616.40 is: 104,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,876.88 : 159,912.36 = 75,616.40 : x
  2. Step 2: Convert to fraction form
    115,876.88/159,912.36 = 75,616.40/x
  3. Step 3: Cross multiply
    115,876.88x = 159,912.36 × 75,616.40
  4. Step 4: Simplify right side
    115,876.88x = 12,091,996,978.70
  5. Step 5: Solve for x
    x = 12,091,996,978.70/115,876.88
  6. Step 6: Final answer
    x = 104,352.11

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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.