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Finding the Fourth Proportional to 259,588.25, 389,424.50 and 101,731.13

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Solution

The fourth proportional to 259,588.25, 389,424.50 and 101,731.13 is: 152,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,588.25 : 389,424.50 = 101,731.13 : x
  2. Step 2: Convert to fraction form
    259,588.25/389,424.50 = 101,731.13/x
  3. Step 3: Cross multiply
    259,588.25x = 389,424.50 × 101,731.13
  4. Step 4: Simplify right side
    259,588.25x = 39,616,593,926.03
  5. Step 5: Solve for x
    x = 39,616,593,926.03/259,588.25
  6. Step 6: Final answer
    x = 152,613.20

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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.