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Finding the Fourth Proportional to 139,284, 192,214.18 and 78,853.08

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Solution

The fourth proportional to 139,284, 192,214.18 and 78,853.08 is: 108,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,284 : 192,214.18 = 78,853.08 : x
  2. Step 2: Convert to fraction form
    139,284/192,214.18 = 78,853.08/x
  3. Step 3: Cross multiply
    139,284x = 192,214.18 × 78,853.08
  4. Step 4: Simplify right side
    139,284x = 15,156,680,112.67
  5. Step 5: Solve for x
    x = 15,156,680,112.67/139,284
  6. Step 6: Final answer
    x = 108,818.53

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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.