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Finding the Fourth Proportional to 155,209.92, 233,011.80 and 131,983.98

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Solution

The fourth proportional to 155,209.92, 233,011.80 and 131,983.98 is: 198,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,209.92 : 233,011.80 = 131,983.98 : x
  2. Step 2: Convert to fraction form
    155,209.92/233,011.80 = 131,983.98/x
  3. Step 3: Cross multiply
    155,209.92x = 233,011.80 × 131,983.98
  4. Step 4: Simplify right side
    155,209.92x = 30,753,824,750.96
  5. Step 5: Solve for x
    x = 30,753,824,750.96/155,209.92
  6. Step 6: Final answer
    x = 198,143.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.