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Finding the Fourth Proportional to 123,548.88, 170,407.44 and 78,234.24

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Solution

The fourth proportional to 123,548.88, 170,407.44 and 78,234.24 is: 107,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,548.88 : 170,407.44 = 78,234.24 : x
  2. Step 2: Convert to fraction form
    123,548.88/170,407.44 = 78,234.24/x
  3. Step 3: Cross multiply
    123,548.88x = 170,407.44 × 78,234.24
  4. Step 4: Simplify right side
    123,548.88x = 13,331,696,558.75
  5. Step 5: Solve for x
    x = 13,331,696,558.75/123,548.88
  6. Step 6: Final answer
    x = 107,906.25

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1.5x scale

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.