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Finding the Fourth Proportional to 77,099.52, 115,626.24 and 27,840

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Solution

The fourth proportional to 77,099.52, 115,626.24 and 27,840 is: 41,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,099.52 : 115,626.24 = 27,840 : x
  2. Step 2: Convert to fraction form
    77,099.52/115,626.24 = 27,840/x
  3. Step 3: Cross multiply
    77,099.52x = 115,626.24 × 27,840
  4. Step 4: Simplify right side
    77,099.52x = 3,219,034,521.60
  5. Step 5: Solve for x
    x = 3,219,034,521.60/77,099.52
  6. Step 6: Final answer
    x = 41,751.68

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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.