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Finding the Fourth Proportional to 276,873.19, 415,333.20 and 77,193.75

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Solution

The fourth proportional to 276,873.19, 415,333.20 and 77,193.75 is: 115,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,873.19 : 415,333.20 = 77,193.75 : x
  2. Step 2: Convert to fraction form
    276,873.19/415,333.20 = 77,193.75/x
  3. Step 3: Cross multiply
    276,873.19x = 415,333.20 × 77,193.75
  4. Step 4: Simplify right side
    276,873.19x = 32,061,127,207.50
  5. Step 5: Solve for x
    x = 32,061,127,207.50/276,873.19
  6. Step 6: Final answer
    x = 115,797.15

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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.