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Finding the Fourth Proportional to 149,199.36, 205,882.56 and 85,522.56

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Solution

The fourth proportional to 149,199.36, 205,882.56 and 85,522.56 is: 118,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,199.36 : 205,882.56 = 85,522.56 : x
  2. Step 2: Convert to fraction form
    149,199.36/205,882.56 = 85,522.56/x
  3. Step 3: Cross multiply
    149,199.36x = 205,882.56 × 85,522.56
  4. Step 4: Simplify right side
    149,199.36x = 17,607,603,590.55
  5. Step 5: Solve for x
    x = 17,607,603,590.55/149,199.36
  6. Step 6: Final answer
    x = 118,013.94

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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.