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Finding the Fourth Proportional to 140,509.46, 193,892.46 and 76,845.08

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Solution

The fourth proportional to 140,509.46, 193,892.46 and 76,845.08 is: 106,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,509.46 : 193,892.46 = 76,845.08 : x
  2. Step 2: Convert to fraction form
    140,509.46/193,892.46 = 76,845.08/x
  3. Step 3: Cross multiply
    140,509.46x = 193,892.46 × 76,845.08
  4. Step 4: Simplify right side
    140,509.46x = 14,899,681,600.10
  5. Step 5: Solve for x
    x = 14,899,681,600.10/140,509.46
  6. Step 6: Final answer
    x = 106,040.42

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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.