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Finding the Fourth Proportional to 138,757, 208,145.24 and 55,651

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Solution

The fourth proportional to 138,757, 208,145.24 and 55,651 is: 83,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,757 : 208,145.24 = 55,651 : x
  2. Step 2: Convert to fraction form
    138,757/208,145.24 = 55,651/x
  3. Step 3: Cross multiply
    138,757x = 208,145.24 × 55,651
  4. Step 4: Simplify right side
    138,757x = 11,583,490,751.24
  5. Step 5: Solve for x
    x = 11,583,490,751.24/138,757
  6. Step 6: Final answer
    x = 83,480.41

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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.