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Finding the Fourth Proportional to 115,269.76, 159,102.40 and 75,093.76

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Solution

The fourth proportional to 115,269.76, 159,102.40 and 75,093.76 is: 103,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,269.76 : 159,102.40 = 75,093.76 : x
  2. Step 2: Convert to fraction form
    115,269.76/159,102.40 = 75,093.76/x
  3. Step 3: Cross multiply
    115,269.76x = 159,102.40 × 75,093.76
  4. Step 4: Simplify right side
    115,269.76x = 11,947,597,441.02
  5. Step 5: Solve for x
    x = 11,947,597,441.02/115,269.76
  6. Step 6: Final answer
    x = 103,649.02

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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.