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Finding the Fourth Proportional to 135,379, 186,823.02 and 75,763

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Solution

The fourth proportional to 135,379, 186,823.02 and 75,763 is: 104,552.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,379 : 186,823.02 = 75,763 : x
  2. Step 2: Convert to fraction form
    135,379/186,823.02 = 75,763/x
  3. Step 3: Cross multiply
    135,379x = 186,823.02 × 75,763
  4. Step 4: Simplify right side
    135,379x = 14,154,272,464.26
  5. Step 5: Solve for x
    x = 14,154,272,464.26/135,379
  6. Step 6: Final answer
    x = 104,552.94

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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.