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Finding the Fourth Proportional to 99,894.50, 137,858.37 and 57,452.98

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Solution

The fourth proportional to 99,894.50, 137,858.37 and 57,452.98 is: 79,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,894.50 : 137,858.37 = 57,452.98 : x
  2. Step 2: Convert to fraction form
    99,894.50/137,858.37 = 57,452.98/x
  3. Step 3: Cross multiply
    99,894.50x = 137,858.37 × 57,452.98
  4. Step 4: Simplify right side
    99,894.50x = 7,920,374,174.44
  5. Step 5: Solve for x
    x = 7,920,374,174.44/99,894.50
  6. Step 6: Final answer
    x = 79,287.39

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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.