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Finding the Fourth Proportional to 151,429.16, 209,021.20 and 97,672.68

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Solution

The fourth proportional to 151,429.16, 209,021.20 and 97,672.68 is: 134,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,429.16 : 209,021.20 = 97,672.68 : x
  2. Step 2: Convert to fraction form
    151,429.16/209,021.20 = 97,672.68/x
  3. Step 3: Cross multiply
    151,429.16x = 209,021.20 × 97,672.68
  4. Step 4: Simplify right side
    151,429.16x = 20,415,660,780.82
  5. Step 5: Solve for x
    x = 20,415,660,780.82/151,429.16
  6. Step 6: Final answer
    x = 134,819.88

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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.