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Finding the Fourth Proportional to 207,163.46, 310,909.20 and 80,864.20

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Solution

The fourth proportional to 207,163.46, 310,909.20 and 80,864.20 is: 121,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,163.46 : 310,909.20 = 80,864.20 : x
  2. Step 2: Convert to fraction form
    207,163.46/310,909.20 = 80,864.20/x
  3. Step 3: Cross multiply
    207,163.46x = 310,909.20 × 80,864.20
  4. Step 4: Simplify right side
    207,163.46x = 25,141,423,730.64
  5. Step 5: Solve for x
    x = 25,141,423,730.64/207,163.46
  6. Step 6: Final answer
    x = 121,360.32

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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.