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Finding the Fourth Proportional to 268,577.04, 402,874.56 and 81,588

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Solution

The fourth proportional to 268,577.04, 402,874.56 and 81,588 is: 122,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,577.04 : 402,874.56 = 81,588 : x
  2. Step 2: Convert to fraction form
    268,577.04/402,874.56 = 81,588/x
  3. Step 3: Cross multiply
    268,577.04x = 402,874.56 × 81,588
  4. Step 4: Simplify right side
    268,577.04x = 32,869,729,601.28
  5. Step 5: Solve for x
    x = 32,869,729,601.28/268,577.04
  6. Step 6: Final answer
    x = 122,384.73

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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.