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Finding the Fourth Proportional to 111,375, 166,644 and 78,159.87

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Solution

The fourth proportional to 111,375, 166,644 and 78,159.87 is: 116,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,375 : 166,644 = 78,159.87 : x
  2. Step 2: Convert to fraction form
    111,375/166,644 = 78,159.87/x
  3. Step 3: Cross multiply
    111,375x = 166,644 × 78,159.87
  4. Step 4: Simplify right side
    111,375x = 13,024,873,376.28
  5. Step 5: Solve for x
    x = 13,024,873,376.28/111,375
  6. Step 6: Final answer
    x = 116,946.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.