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Finding the Fourth Proportional to 111,294.32, 166,580.12 and 81,705.52

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Solution

The fourth proportional to 111,294.32, 166,580.12 and 81,705.52 is: 122,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,294.32 : 166,580.12 = 81,705.52 : x
  2. Step 2: Convert to fraction form
    111,294.32/166,580.12 = 81,705.52/x
  3. Step 3: Cross multiply
    111,294.32x = 166,580.12 × 81,705.52
  4. Step 4: Simplify right side
    111,294.32x = 13,610,515,326.26
  5. Step 5: Solve for x
    x = 13,610,515,326.26/111,294.32
  6. Step 6: Final answer
    x = 122,292.99

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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.