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Finding the Fourth Proportional to 260,142, 358,995.96 and 140,910

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Solution

The fourth proportional to 260,142, 358,995.96 and 140,910 is: 194,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,142 : 358,995.96 = 140,910 : x
  2. Step 2: Convert to fraction form
    260,142/358,995.96 = 140,910/x
  3. Step 3: Cross multiply
    260,142x = 358,995.96 × 140,910
  4. Step 4: Simplify right side
    260,142x = 50,586,120,723.60
  5. Step 5: Solve for x
    x = 50,586,120,723.60/260,142
  6. Step 6: Final answer
    x = 194,455.80

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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.