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Finding the Fourth Proportional to 150,213.56, 207,317.48 and 85,682.48

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Solution

The fourth proportional to 150,213.56, 207,317.48 and 85,682.48 is: 118,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,213.56 : 207,317.48 = 85,682.48 : x
  2. Step 2: Convert to fraction form
    150,213.56/207,317.48 = 85,682.48/x
  3. Step 3: Cross multiply
    150,213.56x = 207,317.48 × 85,682.48
  4. Step 4: Simplify right side
    150,213.56x = 17,763,474,368.75
  5. Step 5: Solve for x
    x = 17,763,474,368.75/150,213.56
  6. Step 6: Final answer
    x = 118,254.80

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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.