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Finding the Fourth Proportional to 136,894.32, 188,843.40 and 86,622.48

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Solution

The fourth proportional to 136,894.32, 188,843.40 and 86,622.48 is: 119,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,894.32 : 188,843.40 = 86,622.48 : x
  2. Step 2: Convert to fraction form
    136,894.32/188,843.40 = 86,622.48/x
  3. Step 3: Cross multiply
    136,894.32x = 188,843.40 × 86,622.48
  4. Step 4: Simplify right side
    136,894.32x = 16,358,083,639.63
  5. Step 5: Solve for x
    x = 16,358,083,639.63/136,894.32
  6. Step 6: Final answer
    x = 119,494.25

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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.