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Finding the Fourth Proportional to 140,009.61, 193,217.49 and 76,348.47

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Solution

The fourth proportional to 140,009.61, 193,217.49 and 76,348.47 is: 105,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,009.61 : 193,217.49 = 76,348.47 : x
  2. Step 2: Convert to fraction form
    140,009.61/193,217.49 = 76,348.47/x
  3. Step 3: Cross multiply
    140,009.61x = 193,217.49 × 76,348.47
  4. Step 4: Simplify right side
    140,009.61x = 14,751,859,738.74
  5. Step 5: Solve for x
    x = 14,751,859,738.74/140,009.61
  6. Step 6: Final answer
    x = 105,363.19

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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.