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Finding the Fourth Proportional to 115,631.92, 159,575.16 and 65,329.84

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Solution

The fourth proportional to 115,631.92, 159,575.16 and 65,329.84 is: 90,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,631.92 : 159,575.16 = 65,329.84 : x
  2. Step 2: Convert to fraction form
    115,631.92/159,575.16 = 65,329.84/x
  3. Step 3: Cross multiply
    115,631.92x = 159,575.16 × 65,329.84
  4. Step 4: Simplify right side
    115,631.92x = 10,425,019,670.77
  5. Step 5: Solve for x
    x = 10,425,019,670.77/115,631.92
  6. Step 6: Final answer
    x = 90,156.94

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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.