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Finding the Fourth Proportional to 123,542, 170,506.26 and 78,224.20

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Solution

The fourth proportional to 123,542, 170,506.26 and 78,224.20 is: 107,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,542 : 170,506.26 = 78,224.20 : x
  2. Step 2: Convert to fraction form
    123,542/170,506.26 = 78,224.20/x
  3. Step 3: Cross multiply
    123,542x = 170,506.26 × 78,224.20
  4. Step 4: Simplify right side
    123,542x = 13,337,715,783.49
  5. Step 5: Solve for x
    x = 13,337,715,783.49/123,542
  6. Step 6: Final answer
    x = 107,960.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.