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Finding the Fourth Proportional to 140,129.60, 193,375.20 and 76,468.16

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Solution

The fourth proportional to 140,129.60, 193,375.20 and 76,468.16 is: 105,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,129.60 : 193,375.20 = 76,468.16 : x
  2. Step 2: Convert to fraction form
    140,129.60/193,375.20 = 76,468.16/x
  3. Step 3: Cross multiply
    140,129.60x = 193,375.20 × 76,468.16
  4. Step 4: Simplify right side
    140,129.60x = 14,787,045,733.63
  5. Step 5: Solve for x
    x = 14,787,045,733.63/140,129.60
  6. Step 6: Final answer
    x = 105,524.07

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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.