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Finding the Fourth Proportional to 206,701.40, 310,052.10 and 88,384.70

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Solution

The fourth proportional to 206,701.40, 310,052.10 and 88,384.70 is: 132,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,701.40 : 310,052.10 = 88,384.70 : x
  2. Step 2: Convert to fraction form
    206,701.40/310,052.10 = 88,384.70/x
  3. Step 3: Cross multiply
    206,701.40x = 310,052.10 × 88,384.70
  4. Step 4: Simplify right side
    206,701.40x = 27,403,861,842.87
  5. Step 5: Solve for x
    x = 27,403,861,842.87/206,701.40
  6. Step 6: Final answer
    x = 132,577.05

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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.