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Finding the Fourth Proportional to 140,002.71, 193,207.73 and 76,344

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Solution

The fourth proportional to 140,002.71, 193,207.73 and 76,344 is: 105,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,002.71 : 193,207.73 = 76,344 : x
  2. Step 2: Convert to fraction form
    140,002.71/193,207.73 = 76,344/x
  3. Step 3: Cross multiply
    140,002.71x = 193,207.73 × 76,344
  4. Step 4: Simplify right side
    140,002.71x = 14,750,250,557.40
  5. Step 5: Solve for x
    x = 14,750,250,557.40/140,002.71
  6. Step 6: Final answer
    x = 105,356.89

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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.