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Finding the Fourth Proportional to 274,781.80, 412,231.54 and 85,238.07

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Solution

The fourth proportional to 274,781.80, 412,231.54 and 85,238.07 is: 127,875.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,781.80 : 412,231.54 = 85,238.07 : x
  2. Step 2: Convert to fraction form
    274,781.80/412,231.54 = 85,238.07/x
  3. Step 3: Cross multiply
    274,781.80x = 412,231.54 × 85,238.07
  4. Step 4: Simplify right side
    274,781.80x = 35,137,818,801.57
  5. Step 5: Solve for x
    x = 35,137,818,801.57/274,781.80
  6. Step 6: Final answer
    x = 127,875.35

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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.