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Finding the Fourth Proportional to 140,920.86, 194,470.74 and 77,257.29

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Solution

The fourth proportional to 140,920.86, 194,470.74 and 77,257.29 is: 106,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,920.86 : 194,470.74 = 77,257.29 : x
  2. Step 2: Convert to fraction form
    140,920.86/194,470.74 = 77,257.29/x
  3. Step 3: Cross multiply
    140,920.86x = 194,470.74 × 77,257.29
  4. Step 4: Simplify right side
    140,920.86x = 15,024,282,356.69
  5. Step 5: Solve for x
    x = 15,024,282,356.69/140,920.86
  6. Step 6: Final answer
    x = 106,615.03

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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.