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Finding the Fourth Proportional to 109,377.84, 163,949.76 and 78,118.32

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Solution

The fourth proportional to 109,377.84, 163,949.76 and 78,118.32 is: 117,093.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,377.84 : 163,949.76 = 78,118.32 : x
  2. Step 2: Convert to fraction form
    109,377.84/163,949.76 = 78,118.32/x
  3. Step 3: Cross multiply
    109,377.84x = 163,949.76 × 78,118.32
  4. Step 4: Simplify right side
    109,377.84x = 12,807,479,815.60
  5. Step 5: Solve for x
    x = 12,807,479,815.60/109,377.84
  6. Step 6: Final answer
    x = 117,093.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.