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Finding the Fourth Proportional to 205,052.80, 307,622.40 and 86,663.20

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Solution

The fourth proportional to 205,052.80, 307,622.40 and 86,663.20 is: 130,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,052.80 : 307,622.40 = 86,663.20 : x
  2. Step 2: Convert to fraction form
    205,052.80/307,622.40 = 86,663.20/x
  3. Step 3: Cross multiply
    205,052.80x = 307,622.40 × 86,663.20
  4. Step 4: Simplify right side
    205,052.80x = 26,659,541,575.68
  5. Step 5: Solve for x
    x = 26,659,541,575.68/205,052.80
  6. Step 6: Final answer
    x = 130,013.06

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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.