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Finding the Fourth Proportional to 207,178.61, 310,773.92 and 80,813.75

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Solution

The fourth proportional to 207,178.61, 310,773.92 and 80,813.75 is: 121,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,178.61 : 310,773.92 = 80,813.75 : x
  2. Step 2: Convert to fraction form
    207,178.61/310,773.92 = 80,813.75/x
  3. Step 3: Cross multiply
    207,178.61x = 310,773.92 × 80,813.75
  4. Step 4: Simplify right side
    207,178.61x = 25,114,803,919.46
  5. Step 5: Solve for x
    x = 25,114,803,919.46/207,178.61
  6. Step 6: Final answer
    x = 121,222.96

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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.