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Finding the Fourth Proportional to 157,407.73, 217,216.33 and 85,786.21

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Solution

The fourth proportional to 157,407.73, 217,216.33 and 85,786.21 is: 118,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,407.73 : 217,216.33 = 85,786.21 : x
  2. Step 2: Convert to fraction form
    157,407.73/217,216.33 = 85,786.21/x
  3. Step 3: Cross multiply
    157,407.73x = 217,216.33 × 85,786.21
  4. Step 4: Simplify right side
    157,407.73x = 18,634,164,185.80
  5. Step 5: Solve for x
    x = 18,634,164,185.80/157,407.73
  6. Step 6: Final answer
    x = 118,381.51

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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.