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Finding the Fourth Proportional to 151,874.40, 209,448 and 115,997.76

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Solution

The fourth proportional to 151,874.40, 209,448 and 115,997.76 is: 159,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,874.40 : 209,448 = 115,997.76 : x
  2. Step 2: Convert to fraction form
    151,874.40/209,448 = 115,997.76/x
  3. Step 3: Cross multiply
    151,874.40x = 209,448 × 115,997.76
  4. Step 4: Simplify right side
    151,874.40x = 24,295,498,836.48
  5. Step 5: Solve for x
    x = 24,295,498,836.48/151,874.40
  6. Step 6: Final answer
    x = 159,970.99

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1.5x scale

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.