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Finding the Fourth Proportional to 86,406, 119,280.24 and 60,933.12

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Solution

The fourth proportional to 86,406, 119,280.24 and 60,933.12 is: 84,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,406 : 119,280.24 = 60,933.12 : x
  2. Step 2: Convert to fraction form
    86,406/119,280.24 = 60,933.12/x
  3. Step 3: Cross multiply
    86,406x = 119,280.24 × 60,933.12
  4. Step 4: Simplify right side
    86,406x = 7,268,117,177.55
  5. Step 5: Solve for x
    x = 7,268,117,177.55/86,406
  6. Step 6: Final answer
    x = 84,115.89

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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.