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Finding the Fourth Proportional to 69,840, 96,396.48 and 42,999.84

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Solution

The fourth proportional to 69,840, 96,396.48 and 42,999.84 is: 59,350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,840 : 96,396.48 = 42,999.84 : x
  2. Step 2: Convert to fraction form
    69,840/96,396.48 = 42,999.84/x
  3. Step 3: Cross multiply
    69,840x = 96,396.48 × 42,999.84
  4. Step 4: Simplify right side
    69,840x = 4,145,033,216.56
  5. Step 5: Solve for x
    x = 4,145,033,216.56/69,840
  6. Step 6: Final answer
    x = 59,350.42

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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.