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Finding the Fourth Proportional to 78,576.52, 117,868.67 and 22,424.91

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Solution

The fourth proportional to 78,576.52, 117,868.67 and 22,424.91 is: 33,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,576.52 : 117,868.67 = 22,424.91 : x
  2. Step 2: Convert to fraction form
    78,576.52/117,868.67 = 22,424.91/x
  3. Step 3: Cross multiply
    78,576.52x = 117,868.67 × 22,424.91
  4. Step 4: Simplify right side
    78,576.52x = 2,643,194,316.57
  5. Step 5: Solve for x
    x = 2,643,194,316.57/78,576.52
  6. Step 6: Final answer
    x = 33,638.48

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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.