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Finding the Fourth Proportional to 276,005.70, 414,008.55 and 89,036.10

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Solution

The fourth proportional to 276,005.70, 414,008.55 and 89,036.10 is: 133,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,005.70 : 414,008.55 = 89,036.10 : x
  2. Step 2: Convert to fraction form
    276,005.70/414,008.55 = 89,036.10/x
  3. Step 3: Cross multiply
    276,005.70x = 414,008.55 × 89,036.10
  4. Step 4: Simplify right side
    276,005.70x = 36,861,706,658.66
  5. Step 5: Solve for x
    x = 36,861,706,658.66/276,005.70
  6. Step 6: Final answer
    x = 133,554.15

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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.