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Finding the Fourth Proportional to 276,221.32, 414,349.52 and 86,689.20

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Solution

The fourth proportional to 276,221.32, 414,349.52 and 86,689.20 is: 130,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,221.32 : 414,349.52 = 86,689.20 : x
  2. Step 2: Convert to fraction form
    276,221.32/414,349.52 = 86,689.20/x
  3. Step 3: Cross multiply
    276,221.32x = 414,349.52 × 86,689.20
  4. Step 4: Simplify right side
    276,221.32x = 35,919,628,409.18
  5. Step 5: Solve for x
    x = 35,919,628,409.18/276,221.32
  6. Step 6: Final answer
    x = 130,039.30

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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.