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Finding the Fourth Proportional to 139,357.42, 192,314.25 and 75,695.24

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Solution

The fourth proportional to 139,357.42, 192,314.25 and 75,695.24 is: 104,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,357.42 : 192,314.25 = 75,695.24 : x
  2. Step 2: Convert to fraction form
    139,357.42/192,314.25 = 75,695.24/x
  3. Step 3: Cross multiply
    139,357.42x = 192,314.25 × 75,695.24
  4. Step 4: Simplify right side
    139,357.42x = 14,557,273,789.96
  5. Step 5: Solve for x
    x = 14,557,273,789.96/139,357.42
  6. Step 6: Final answer
    x = 104,459.99

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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.