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Finding the Fourth Proportional to 205,042.80, 307,607.40 and 86,653.20

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Solution

The fourth proportional to 205,042.80, 307,607.40 and 86,653.20 is: 129,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,042.80 : 307,607.40 = 86,653.20 : x
  2. Step 2: Convert to fraction form
    205,042.80/307,607.40 = 86,653.20/x
  3. Step 3: Cross multiply
    205,042.80x = 307,607.40 × 86,653.20
  4. Step 4: Simplify right side
    205,042.80x = 26,655,165,553.68
  5. Step 5: Solve for x
    x = 26,655,165,553.68/205,042.80
  6. Step 6: Final answer
    x = 129,998.06

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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.