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Finding the Fourth Proportional to 111,295.32, 166,581.62 and 81,706.52

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Solution

The fourth proportional to 111,295.32, 166,581.62 and 81,706.52 is: 122,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,295.32 : 166,581.62 = 81,706.52 : x
  2. Step 2: Convert to fraction form
    111,295.32/166,581.62 = 81,706.52/x
  3. Step 3: Cross multiply
    111,295.32x = 166,581.62 × 81,706.52
  4. Step 4: Simplify right side
    111,295.32x = 13,610,804,466.16
  5. Step 5: Solve for x
    x = 13,610,804,466.16/111,295.32
  6. Step 6: Final answer
    x = 122,294.49

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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.