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Finding the Fourth Proportional to 268,575.04, 402,871.56 and 81,586

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Solution

The fourth proportional to 268,575.04, 402,871.56 and 81,586 is: 122,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,575.04 : 402,871.56 = 81,586 : x
  2. Step 2: Convert to fraction form
    268,575.04/402,871.56 = 81,586/x
  3. Step 3: Cross multiply
    268,575.04x = 402,871.56 × 81,586
  4. Step 4: Simplify right side
    268,575.04x = 32,868,679,094.16
  5. Step 5: Solve for x
    x = 32,868,679,094.16/268,575.04
  6. Step 6: Final answer
    x = 122,381.73

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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.