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Finding the Fourth Proportional to 260,060, 358,882.80 and 140,828

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Solution

The fourth proportional to 260,060, 358,882.80 and 140,828 is: 194,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,060 : 358,882.80 = 140,828 : x
  2. Step 2: Convert to fraction form
    260,060/358,882.80 = 140,828/x
  3. Step 3: Cross multiply
    260,060x = 358,882.80 × 140,828
  4. Step 4: Simplify right side
    260,060x = 50,540,746,958.40
  5. Step 5: Solve for x
    x = 50,540,746,958.40/260,060
  6. Step 6: Final answer
    x = 194,342.64

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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.