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Finding the Fourth Proportional to 157,420.56, 217,245.12 and 85,805.22

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Solution

The fourth proportional to 157,420.56, 217,245.12 and 85,805.22 is: 118,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,420.56 : 217,245.12 = 85,805.22 : x
  2. Step 2: Convert to fraction form
    157,420.56/217,245.12 = 85,805.22/x
  3. Step 3: Cross multiply
    157,420.56x = 217,245.12 × 85,805.22
  4. Step 4: Simplify right side
    157,420.56x = 18,640,765,315.53
  5. Step 5: Solve for x
    x = 18,640,765,315.53/157,420.56
  6. Step 6: Final answer
    x = 118,413.79

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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.