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Finding the Fourth Proportional to 138,314, 190,672.28 and 119,110.76

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Solution

The fourth proportional to 138,314, 190,672.28 and 119,110.76 is: 164,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,314 : 190,672.28 = 119,110.76 : x
  2. Step 2: Convert to fraction form
    138,314/190,672.28 = 119,110.76/x
  3. Step 3: Cross multiply
    138,314x = 190,672.28 × 119,110.76
  4. Step 4: Simplify right side
    138,314x = 22,711,120,181.73
  5. Step 5: Solve for x
    x = 22,711,120,181.73/138,314
  6. Step 6: Final answer
    x = 164,199.72

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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.