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Finding the Fourth Proportional to 259,866, 358,615.08 and 140,634

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Solution

The fourth proportional to 259,866, 358,615.08 and 140,634 is: 194,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,866 : 358,615.08 = 140,634 : x
  2. Step 2: Convert to fraction form
    259,866/358,615.08 = 140,634/x
  3. Step 3: Cross multiply
    259,866x = 358,615.08 × 140,634
  4. Step 4: Simplify right side
    259,866x = 50,433,473,160.72
  5. Step 5: Solve for x
    x = 50,433,473,160.72/259,866
  6. Step 6: Final answer
    x = 194,074.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.