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Finding the Fourth Proportional to 139,489.86, 192,493.72 and 75,829.26

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Solution

The fourth proportional to 139,489.86, 192,493.72 and 75,829.26 is: 104,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,489.86 : 192,493.72 = 75,829.26 : x
  2. Step 2: Convert to fraction form
    139,489.86/192,493.72 = 75,829.26/x
  3. Step 3: Cross multiply
    139,489.86x = 192,493.72 × 75,829.26
  4. Step 4: Simplify right side
    139,489.86x = 14,596,656,342.25
  5. Step 5: Solve for x
    x = 14,596,656,342.25/139,489.86
  6. Step 6: Final answer
    x = 104,643.14

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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.