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Finding the Fourth Proportional to 276,842.52, 415,263.90 and 77,168.04

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Solution

The fourth proportional to 276,842.52, 415,263.90 and 77,168.04 is: 115,752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,842.52 : 415,263.90 = 77,168.04 : x
  2. Step 2: Convert to fraction form
    276,842.52/415,263.90 = 77,168.04/x
  3. Step 3: Cross multiply
    276,842.52x = 415,263.90 × 77,168.04
  4. Step 4: Simplify right side
    276,842.52x = 32,045,101,245.76
  5. Step 5: Solve for x
    x = 32,045,101,245.76/276,842.52
  6. Step 6: Final answer
    x = 115,752.09

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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.