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Finding the Fourth Proportional to 121,767.76, 167,838.78 and 81,467.02

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Solution

The fourth proportional to 121,767.76, 167,838.78 and 81,467.02 is: 112,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,767.76 : 167,838.78 = 81,467.02 : x
  2. Step 2: Convert to fraction form
    121,767.76/167,838.78 = 81,467.02/x
  3. Step 3: Cross multiply
    121,767.76x = 167,838.78 × 81,467.02
  4. Step 4: Simplify right side
    121,767.76x = 13,673,325,247.04
  5. Step 5: Solve for x
    x = 13,673,325,247.04/121,767.76
  6. Step 6: Final answer
    x = 112,290.19

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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.