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Finding the Fourth Proportional to 140,124.78, 193,372.74 and 76,464

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Solution

The fourth proportional to 140,124.78, 193,372.74 and 76,464 is: 105,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,124.78 : 193,372.74 = 76,464 : x
  2. Step 2: Convert to fraction form
    140,124.78/193,372.74 = 76,464/x
  3. Step 3: Cross multiply
    140,124.78x = 193,372.74 × 76,464
  4. Step 4: Simplify right side
    140,124.78x = 14,786,053,191.36
  5. Step 5: Solve for x
    x = 14,786,053,191.36/140,124.78
  6. Step 6: Final answer
    x = 105,520.62

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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.