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Finding the Fourth Proportional to 268,374.24, 402,600.24 and 81,401.76

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Solution

The fourth proportional to 268,374.24, 402,600.24 and 81,401.76 is: 122,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,374.24 : 402,600.24 = 81,401.76 : x
  2. Step 2: Convert to fraction form
    268,374.24/402,600.24 = 81,401.76/x
  3. Step 3: Cross multiply
    268,374.24x = 402,600.24 × 81,401.76
  4. Step 4: Simplify right side
    268,374.24x = 32,772,368,112.42
  5. Step 5: Solve for x
    x = 32,772,368,112.42/268,374.24
  6. Step 6: Final answer
    x = 122,114.43

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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.