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Finding the Fourth Proportional to 99,837, 137,759.40 and 57,387.60

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Solution

The fourth proportional to 99,837, 137,759.40 and 57,387.60 is: 79,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,837 : 137,759.40 = 57,387.60 : x
  2. Step 2: Convert to fraction form
    99,837/137,759.40 = 57,387.60/x
  3. Step 3: Cross multiply
    99,837x = 137,759.40 × 57,387.60
  4. Step 4: Simplify right side
    99,837x = 7,905,681,343.44
  5. Step 5: Solve for x
    x = 7,905,681,343.44/99,837
  6. Step 6: Final answer
    x = 79,185.89

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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.