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Finding the Fourth Proportional to 278,665.64, 418,014.36 and 89,142.68

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Solution

The fourth proportional to 278,665.64, 418,014.36 and 89,142.68 is: 133,719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,665.64 : 418,014.36 = 89,142.68 : x
  2. Step 2: Convert to fraction form
    278,665.64/418,014.36 = 89,142.68/x
  3. Step 3: Cross multiply
    278,665.64x = 418,014.36 × 89,142.68
  4. Step 4: Simplify right side
    278,665.64x = 37,262,920,328.88
  5. Step 5: Solve for x
    x = 37,262,920,328.88/278,665.64
  6. Step 6: Final answer
    x = 133,719.11

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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.