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Finding the Fourth Proportional to 136,921.20, 188,948.88 and 76,488

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Solution

The fourth proportional to 136,921.20, 188,948.88 and 76,488 is: 105,552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,921.20 : 188,948.88 = 76,488 : x
  2. Step 2: Convert to fraction form
    136,921.20/188,948.88 = 76,488/x
  3. Step 3: Cross multiply
    136,921.20x = 188,948.88 × 76,488
  4. Step 4: Simplify right side
    136,921.20x = 14,452,321,933.44
  5. Step 5: Solve for x
    x = 14,452,321,933.44/136,921.20
  6. Step 6: Final answer
    x = 105,552.11

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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.