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Finding the Fourth Proportional to 257,988.57, 386,985.02 and 71,010.33

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Solution

The fourth proportional to 257,988.57, 386,985.02 and 71,010.33 is: 106,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,988.57 : 386,985.02 = 71,010.33 : x
  2. Step 2: Convert to fraction form
    257,988.57/386,985.02 = 71,010.33/x
  3. Step 3: Cross multiply
    257,988.57x = 386,985.02 × 71,010.33
  4. Step 4: Simplify right side
    257,988.57x = 27,479,933,620.21
  5. Step 5: Solve for x
    x = 27,479,933,620.21/257,988.57
  6. Step 6: Final answer
    x = 106,516.09

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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.