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Finding the Fourth Proportional to 121,523.80, 182,631.30 and 106,317.40

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Solution

The fourth proportional to 121,523.80, 182,631.30 and 106,317.40 is: 159,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,523.80 : 182,631.30 = 106,317.40 : x
  2. Step 2: Convert to fraction form
    121,523.80/182,631.30 = 106,317.40/x
  3. Step 3: Cross multiply
    121,523.80x = 182,631.30 × 106,317.40
  4. Step 4: Simplify right side
    121,523.80x = 19,416,884,974.62
  5. Step 5: Solve for x
    x = 19,416,884,974.62/121,523.80
  6. Step 6: Final answer
    x = 159,778.45

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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.