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Finding the Fourth Proportional to 115,879.88, 159,916.50 and 75,619.40

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Solution

The fourth proportional to 115,879.88, 159,916.50 and 75,619.40 is: 104,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,879.88 : 159,916.50 = 75,619.40 : x
  2. Step 2: Convert to fraction form
    115,879.88/159,916.50 = 75,619.40/x
  3. Step 3: Cross multiply
    115,879.88x = 159,916.50 × 75,619.40
  4. Step 4: Simplify right side
    115,879.88x = 12,092,789,780.10
  5. Step 5: Solve for x
    x = 12,092,789,780.10/115,879.88
  6. Step 6: Final answer
    x = 104,356.25

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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.