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Finding the Fourth Proportional to 260,062, 358,885.56 and 140,830

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Solution

The fourth proportional to 260,062, 358,885.56 and 140,830 is: 194,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,062 : 358,885.56 = 140,830 : x
  2. Step 2: Convert to fraction form
    260,062/358,885.56 = 140,830/x
  3. Step 3: Cross multiply
    260,062x = 358,885.56 × 140,830
  4. Step 4: Simplify right side
    260,062x = 50,541,853,414.80
  5. Step 5: Solve for x
    x = 50,541,853,414.80/260,062
  6. Step 6: Final answer
    x = 194,345.40

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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.