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Finding the Fourth Proportional to 205,266.80, 307,943.40 and 86,877.20

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Solution

The fourth proportional to 205,266.80, 307,943.40 and 86,877.20 is: 130,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,266.80 : 307,943.40 = 86,877.20 : x
  2. Step 2: Convert to fraction form
    205,266.80/307,943.40 = 86,877.20/x
  3. Step 3: Cross multiply
    205,266.80x = 307,943.40 × 86,877.20
  4. Step 4: Simplify right side
    205,266.80x = 26,753,260,350.48
  5. Step 5: Solve for x
    x = 26,753,260,350.48/205,266.80
  6. Step 6: Final answer
    x = 130,334.08

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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.