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Finding the Fourth Proportional to 120,658.44, 166,452.66 and 75,307.08

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Solution

The fourth proportional to 120,658.44, 166,452.66 and 75,307.08 is: 103,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,658.44 : 166,452.66 = 75,307.08 : x
  2. Step 2: Convert to fraction form
    120,658.44/166,452.66 = 75,307.08/x
  3. Step 3: Cross multiply
    120,658.44x = 166,452.66 × 75,307.08
  4. Step 4: Simplify right side
    120,658.44x = 12,535,063,782.83
  5. Step 5: Solve for x
    x = 12,535,063,782.83/120,658.44
  6. Step 6: Final answer
    x = 103,888.83

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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.