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Finding the Fourth Proportional to 157,109.22, 216,815.54 and 85,484.97

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Solution

The fourth proportional to 157,109.22, 216,815.54 and 85,484.97 is: 117,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,109.22 : 216,815.54 = 85,484.97 : x
  2. Step 2: Convert to fraction form
    157,109.22/216,815.54 = 85,484.97/x
  3. Step 3: Cross multiply
    157,109.22x = 216,815.54 × 85,484.97
  4. Step 4: Simplify right side
    157,109.22x = 18,534,469,505.01
  5. Step 5: Solve for x
    x = 18,534,469,505.01/157,109.22
  6. Step 6: Final answer
    x = 117,971.88

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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.