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Finding the Fourth Proportional to 115,856.69, 159,845.08 and 64,861.93

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Solution

The fourth proportional to 115,856.69, 159,845.08 and 64,861.93 is: 89,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,856.69 : 159,845.08 = 64,861.93 : x
  2. Step 2: Convert to fraction form
    115,856.69/159,845.08 = 64,861.93/x
  3. Step 3: Cross multiply
    115,856.69x = 159,845.08 × 64,861.93
  4. Step 4: Simplify right side
    115,856.69x = 10,367,859,266.27
  5. Step 5: Solve for x
    x = 10,367,859,266.27/115,856.69
  6. Step 6: Final answer
    x = 89,488.65

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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.