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Finding the Fourth Proportional to 167,472, 231,111.36 and 100,416.96

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Solution

The fourth proportional to 167,472, 231,111.36 and 100,416.96 is: 138,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,472 : 231,111.36 = 100,416.96 : x
  2. Step 2: Convert to fraction form
    167,472/231,111.36 = 100,416.96/x
  3. Step 3: Cross multiply
    167,472x = 231,111.36 × 100,416.96
  4. Step 4: Simplify right side
    167,472x = 23,207,500,192.67
  5. Step 5: Solve for x
    x = 23,207,500,192.67/167,472
  6. Step 6: Final answer
    x = 138,575.40

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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.