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Finding the Fourth Proportional to 137,281.20, 205,921.80 and 109,633.20

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Solution

The fourth proportional to 137,281.20, 205,921.80 and 109,633.20 is: 164,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,281.20 : 205,921.80 = 109,633.20 : x
  2. Step 2: Convert to fraction form
    137,281.20/205,921.80 = 109,633.20/x
  3. Step 3: Cross multiply
    137,281.20x = 205,921.80 × 109,633.20
  4. Step 4: Simplify right side
    137,281.20x = 22,575,865,883.76
  5. Step 5: Solve for x
    x = 22,575,865,883.76/137,281.20
  6. Step 6: Final answer
    x = 164,449.80

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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.