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Finding the Fourth Proportional to 91,503.31, 137,278.62 and 53,584.60

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Solution

The fourth proportional to 91,503.31, 137,278.62 and 53,584.60 is: 80,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,503.31 : 137,278.62 = 53,584.60 : x
  2. Step 2: Convert to fraction form
    91,503.31/137,278.62 = 53,584.60/x
  3. Step 3: Cross multiply
    91,503.31x = 137,278.62 × 53,584.60
  4. Step 4: Simplify right side
    91,503.31x = 7,356,019,732.02
  5. Step 5: Solve for x
    x = 7,356,019,732.02/91,503.31
  6. Step 6: Final answer
    x = 80,390.75

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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.