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Finding the Fourth Proportional to 137,799.96, 190,182.96 and 76,559.88

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Solution

The fourth proportional to 137,799.96, 190,182.96 and 76,559.88 is: 105,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,799.96 : 190,182.96 = 76,559.88 : x
  2. Step 2: Convert to fraction form
    137,799.96/190,182.96 = 76,559.88/x
  3. Step 3: Cross multiply
    137,799.96x = 190,182.96 × 76,559.88
  4. Step 4: Simplify right side
    137,799.96x = 14,560,384,595.64
  5. Step 5: Solve for x
    x = 14,560,384,595.64/137,799.96
  6. Step 6: Final answer
    x = 105,663.20

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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.