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Finding the Fourth Proportional to 61,738.80, 85,201.23 and 34,880.77

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Solution

The fourth proportional to 61,738.80, 85,201.23 and 34,880.77 is: 48,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,738.80 : 85,201.23 = 34,880.77 : x
  2. Step 2: Convert to fraction form
    61,738.80/85,201.23 = 34,880.77/x
  3. Step 3: Cross multiply
    61,738.80x = 85,201.23 × 34,880.77
  4. Step 4: Simplify right side
    61,738.80x = 2,971,884,507.35
  5. Step 5: Solve for x
    x = 2,971,884,507.35/61,738.80
  6. Step 6: Final answer
    x = 48,136.42

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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.