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Finding the Fourth Proportional to 77,077.44, 115,615.56 and 39,648

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Solution

The fourth proportional to 77,077.44, 115,615.56 and 39,648 is: 59,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,077.44 : 115,615.56 = 39,648 : x
  2. Step 2: Convert to fraction form
    77,077.44/115,615.56 = 39,648/x
  3. Step 3: Cross multiply
    77,077.44x = 115,615.56 × 39,648
  4. Step 4: Simplify right side
    77,077.44x = 4,583,925,722.88
  5. Step 5: Solve for x
    x = 4,583,925,722.88/77,077.44
  6. Step 6: Final answer
    x = 59,471.69

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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.