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Finding the Fourth Proportional to 109,213.16, 150,719.02 and 61,469.60

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Solution

The fourth proportional to 109,213.16, 150,719.02 and 61,469.60 is: 84,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,213.16 : 150,719.02 = 61,469.60 : x
  2. Step 2: Convert to fraction form
    109,213.16/150,719.02 = 61,469.60/x
  3. Step 3: Cross multiply
    109,213.16x = 150,719.02 × 61,469.60
  4. Step 4: Simplify right side
    109,213.16x = 9,264,637,564.44
  5. Step 5: Solve for x
    x = 9,264,637,564.44/109,213.16
  6. Step 6: Final answer
    x = 84,830.78

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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.