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Finding the Fourth Proportional to 120,458.52, 166,233.06 and 66,743.10

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Solution

The fourth proportional to 120,458.52, 166,233.06 and 66,743.10 is: 92,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,458.52 : 166,233.06 = 66,743.10 : x
  2. Step 2: Convert to fraction form
    120,458.52/166,233.06 = 66,743.10/x
  3. Step 3: Cross multiply
    120,458.52x = 166,233.06 × 66,743.10
  4. Step 4: Simplify right side
    120,458.52x = 11,094,909,746.89
  5. Step 5: Solve for x
    x = 11,094,909,746.89/120,458.52
  6. Step 6: Final answer
    x = 92,105.65

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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.