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Finding the Fourth Proportional to 276,812.52, 415,171.70 and 77,152.79

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Solution

The fourth proportional to 276,812.52, 415,171.70 and 77,152.79 is: 115,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,812.52 : 415,171.70 = 77,152.79 : x
  2. Step 2: Convert to fraction form
    276,812.52/415,171.70 = 77,152.79/x
  3. Step 3: Cross multiply
    276,812.52x = 415,171.70 × 77,152.79
  4. Step 4: Simplify right side
    276,812.52x = 32,031,652,522.42
  5. Step 5: Solve for x
    x = 32,031,652,522.42/276,812.52
  6. Step 6: Final answer
    x = 115,716.05

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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.