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Finding the Fourth Proportional to 276,145.71, 414,223.71 and 86,601.88

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Solution

The fourth proportional to 276,145.71, 414,223.71 and 86,601.88 is: 129,904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,145.71 : 414,223.71 = 86,601.88 : x
  2. Step 2: Convert to fraction form
    276,145.71/414,223.71 = 86,601.88/x
  3. Step 3: Cross multiply
    276,145.71x = 414,223.71 × 86,601.88
  4. Step 4: Simplify right side
    276,145.71x = 35,872,552,026.57
  5. Step 5: Solve for x
    x = 35,872,552,026.57/276,145.71
  6. Step 6: Final answer
    x = 129,904.43

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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.