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Finding the Fourth Proportional to 259,138.77, 388,757.16 and 101,357.25

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Solution

The fourth proportional to 259,138.77, 388,757.16 and 101,357.25 is: 152,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,138.77 : 388,757.16 = 101,357.25 : x
  2. Step 2: Convert to fraction form
    259,138.77/388,757.16 = 101,357.25/x
  3. Step 3: Cross multiply
    259,138.77x = 388,757.16 × 101,357.25
  4. Step 4: Simplify right side
    259,138.77x = 39,403,356,655.41
  5. Step 5: Solve for x
    x = 39,403,356,655.41/259,138.77
  6. Step 6: Final answer
    x = 152,055.04

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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.