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Finding the Fourth Proportional to 85,147.78, 117,503.98 and 49,358.56

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Solution

The fourth proportional to 85,147.78, 117,503.98 and 49,358.56 is: 68,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,147.78 : 117,503.98 = 49,358.56 : x
  2. Step 2: Convert to fraction form
    85,147.78/117,503.98 = 49,358.56/x
  3. Step 3: Cross multiply
    85,147.78x = 117,503.98 × 49,358.56
  4. Step 4: Simplify right side
    85,147.78x = 5,799,827,247.07
  5. Step 5: Solve for x
    x = 5,799,827,247.07/85,147.78
  6. Step 6: Final answer
    x = 68,114.84

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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.