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Finding the Fourth Proportional to 140,138.16, 193,394.16 and 76,478.64

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Solution

The fourth proportional to 140,138.16, 193,394.16 and 76,478.64 is: 105,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,138.16 : 193,394.16 = 76,478.64 : x
  2. Step 2: Convert to fraction form
    140,138.16/193,394.16 = 76,478.64/x
  3. Step 3: Cross multiply
    140,138.16x = 193,394.16 × 76,478.64
  4. Step 4: Simplify right side
    140,138.16x = 14,790,522,340.74
  5. Step 5: Solve for x
    x = 14,790,522,340.74/140,138.16
  6. Step 6: Final answer
    x = 105,542.43

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1.5x scale

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.