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Finding the Fourth Proportional to 71,883, 99,194.40 and 40,050.78

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Solution

The fourth proportional to 71,883, 99,194.40 and 40,050.78 is: 55,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,883 : 99,194.40 = 40,050.78 : x
  2. Step 2: Convert to fraction form
    71,883/99,194.40 = 40,050.78/x
  3. Step 3: Cross multiply
    71,883x = 99,194.40 × 40,050.78
  4. Step 4: Simplify right side
    71,883x = 3,972,813,091.63
  5. Step 5: Solve for x
    x = 3,972,813,091.63/71,883
  6. Step 6: Final answer
    x = 55,267.77

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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.