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Finding the Fourth Proportional to 207,925.61, 311,769.03 and 81,417.74

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Solution

The fourth proportional to 207,925.61, 311,769.03 and 81,417.74 is: 122,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,925.61 : 311,769.03 = 81,417.74 : x
  2. Step 2: Convert to fraction form
    207,925.61/311,769.03 = 81,417.74/x
  3. Step 3: Cross multiply
    207,925.61x = 311,769.03 × 81,417.74
  4. Step 4: Simplify right side
    207,925.61x = 25,383,528,265.75
  5. Step 5: Solve for x
    x = 25,383,528,265.75/207,925.61
  6. Step 6: Final answer
    x = 122,079.85

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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.