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Finding the Fourth Proportional to 123,525.27, 170,402.27 and 78,126.80

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Solution

The fourth proportional to 123,525.27, 170,402.27 and 78,126.80 is: 107,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,525.27 : 170,402.27 = 78,126.80 : x
  2. Step 2: Convert to fraction form
    123,525.27/170,402.27 = 78,126.80/x
  3. Step 3: Cross multiply
    123,525.27x = 170,402.27 × 78,126.80
  4. Step 4: Simplify right side
    123,525.27x = 13,312,982,825.19
  5. Step 5: Solve for x
    x = 13,312,982,825.19/123,525.27
  6. Step 6: Final answer
    x = 107,775.38

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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.