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Finding the Fourth Proportional to 131,116.75, 180,957.12 and 73,758.48

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Solution

The fourth proportional to 131,116.75, 180,957.12 and 73,758.48 is: 101,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,116.75 : 180,957.12 = 73,758.48 : x
  2. Step 2: Convert to fraction form
    131,116.75/180,957.12 = 73,758.48/x
  3. Step 3: Cross multiply
    131,116.75x = 180,957.12 × 73,758.48
  4. Step 4: Simplify right side
    131,116.75x = 13,347,121,161.19
  5. Step 5: Solve for x
    x = 13,347,121,161.19/131,116.75
  6. Step 6: Final answer
    x = 101,795.70

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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.