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Finding the Fourth Proportional to 91,399.60, 137,048.43 and 28,201.78

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Solution

The fourth proportional to 91,399.60, 137,048.43 and 28,201.78 is: 42,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,399.60 : 137,048.43 = 28,201.78 : x
  2. Step 2: Convert to fraction form
    91,399.60/137,048.43 = 28,201.78/x
  3. Step 3: Cross multiply
    91,399.60x = 137,048.43 × 28,201.78
  4. Step 4: Simplify right side
    91,399.60x = 3,865,009,672.21
  5. Step 5: Solve for x
    x = 3,865,009,672.21/91,399.60
  6. Step 6: Final answer
    x = 42,286.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.