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Finding the Fourth Proportional to 140,019.84, 193,230.36 and 78,764.40

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Solution

The fourth proportional to 140,019.84, 193,230.36 and 78,764.40 is: 108,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,019.84 : 193,230.36 = 78,764.40 : x
  2. Step 2: Convert to fraction form
    140,019.84/193,230.36 = 78,764.40/x
  3. Step 3: Cross multiply
    140,019.84x = 193,230.36 × 78,764.40
  4. Step 4: Simplify right side
    140,019.84x = 15,219,673,367.18
  5. Step 5: Solve for x
    x = 15,219,673,367.18/140,019.84
  6. Step 6: Final answer
    x = 108,696.55

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1.5x scale

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.