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Finding the Fourth Proportional to 101,860, 140,566.80 and 57,147.04

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Solution

The fourth proportional to 101,860, 140,566.80 and 57,147.04 is: 78,862.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,860 : 140,566.80 = 57,147.04 : x
  2. Step 2: Convert to fraction form
    101,860/140,566.80 = 57,147.04/x
  3. Step 3: Cross multiply
    101,860x = 140,566.80 × 57,147.04
  4. Step 4: Simplify right side
    101,860x = 8,032,976,542.27
  5. Step 5: Solve for x
    x = 8,032,976,542.27/101,860
  6. Step 6: Final answer
    x = 78,862.92

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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.