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Finding the Fourth Proportional to 259,668.70, 389,267.92 and 101,854.78

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Solution

The fourth proportional to 259,668.70, 389,267.92 and 101,854.78 is: 152,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,668.70 : 389,267.92 = 101,854.78 : x
  2. Step 2: Convert to fraction form
    259,668.70/389,267.92 = 101,854.78/x
  3. Step 3: Cross multiply
    259,668.70x = 389,267.92 × 101,854.78
  4. Step 4: Simplify right side
    259,668.70x = 39,648,798,352.66
  5. Step 5: Solve for x
    x = 39,648,798,352.66/259,668.70
  6. Step 6: Final answer
    x = 152,689.94

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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.