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Finding the Fourth Proportional to 115,838.40, 159,861.60 and 71,140.80

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Solution

The fourth proportional to 115,838.40, 159,861.60 and 71,140.80 is: 98,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,838.40 : 159,861.60 = 71,140.80 : x
  2. Step 2: Convert to fraction form
    115,838.40/159,861.60 = 71,140.80/x
  3. Step 3: Cross multiply
    115,838.40x = 159,861.60 × 71,140.80
  4. Step 4: Simplify right side
    115,838.40x = 11,372,682,113.28
  5. Step 5: Solve for x
    x = 11,372,682,113.28/115,838.40
  6. Step 6: Final answer
    x = 98,177.13

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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.