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Finding the Fourth Proportional to 260,768, 359,860.16 and 141,536

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Solution

The fourth proportional to 260,768, 359,860.16 and 141,536 is: 195,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,768 : 359,860.16 = 141,536 : x
  2. Step 2: Convert to fraction form
    260,768/359,860.16 = 141,536/x
  3. Step 3: Cross multiply
    260,768x = 359,860.16 × 141,536
  4. Step 4: Simplify right side
    260,768x = 50,933,167,605.76
  5. Step 5: Solve for x
    x = 50,933,167,605.76/260,768
  6. Step 6: Final answer
    x = 195,319.85

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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.