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Finding the Fourth Proportional to 136,513.84, 188,392.80 and 78,380.32

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Solution

The fourth proportional to 136,513.84, 188,392.80 and 78,380.32 is: 108,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,513.84 : 188,392.80 = 78,380.32 : x
  2. Step 2: Convert to fraction form
    136,513.84/188,392.80 = 78,380.32/x
  3. Step 3: Cross multiply
    136,513.84x = 188,392.80 × 78,380.32
  4. Step 4: Simplify right side
    136,513.84x = 14,766,287,949.70
  5. Step 5: Solve for x
    x = 14,766,287,949.70/136,513.84
  6. Step 6: Final answer
    x = 108,166.97

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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.