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Finding the Fourth Proportional to 268,583.04, 402,883.56 and 81,594

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Solution

The fourth proportional to 268,583.04, 402,883.56 and 81,594 is: 122,393.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,583.04 : 402,883.56 = 81,594 : x
  2. Step 2: Convert to fraction form
    268,583.04/402,883.56 = 81,594/x
  3. Step 3: Cross multiply
    268,583.04x = 402,883.56 × 81,594
  4. Step 4: Simplify right side
    268,583.04x = 32,872,881,194.64
  5. Step 5: Solve for x
    x = 32,872,881,194.64/268,583.04
  6. Step 6: Final answer
    x = 122,393.73

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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.