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Finding the Fourth Proportional to 276,002.70, 414,004.05 and 89,033.10

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Solution

The fourth proportional to 276,002.70, 414,004.05 and 89,033.10 is: 133,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,002.70 : 414,004.05 = 89,033.10 : x
  2. Step 2: Convert to fraction form
    276,002.70/414,004.05 = 89,033.10/x
  3. Step 3: Cross multiply
    276,002.70x = 414,004.05 × 89,033.10
  4. Step 4: Simplify right side
    276,002.70x = 36,860,063,984.06
  5. Step 5: Solve for x
    x = 36,860,063,984.06/276,002.70
  6. Step 6: Final answer
    x = 133,549.65

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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.