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Finding the Fourth Proportional to 140,143.78, 193,398.96 and 76,483

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Solution

The fourth proportional to 140,143.78, 193,398.96 and 76,483 is: 105,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,143.78 : 193,398.96 = 76,483 : x
  2. Step 2: Convert to fraction form
    140,143.78/193,398.96 = 76,483/x
  3. Step 3: Cross multiply
    140,143.78x = 193,398.96 × 76,483
  4. Step 4: Simplify right side
    140,143.78x = 14,791,732,657.68
  5. Step 5: Solve for x
    x = 14,791,732,657.68/140,143.78
  6. Step 6: Final answer
    x = 105,546.84

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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.