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Finding the Fourth Proportional to 139,204.53, 192,102.15 and 78,774.08

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Solution

The fourth proportional to 139,204.53, 192,102.15 and 78,774.08 is: 108,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,204.53 : 192,102.15 = 78,774.08 : x
  2. Step 2: Convert to fraction form
    139,204.53/192,102.15 = 78,774.08/x
  3. Step 3: Cross multiply
    139,204.53x = 192,102.15 × 78,774.08
  4. Step 4: Simplify right side
    139,204.53x = 15,132,669,171.76
  5. Step 5: Solve for x
    x = 15,132,669,171.76/139,204.53
  6. Step 6: Final answer
    x = 108,708.17

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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.