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Finding the Fourth Proportional to 85,423.74, 117,874.65 and 47,181.02

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Solution

The fourth proportional to 85,423.74, 117,874.65 and 47,181.02 is: 65,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,423.74 : 117,874.65 = 47,181.02 : x
  2. Step 2: Convert to fraction form
    85,423.74/117,874.65 = 47,181.02/x
  3. Step 3: Cross multiply
    85,423.74x = 117,874.65 × 47,181.02
  4. Step 4: Simplify right side
    85,423.74x = 5,561,445,629.77
  5. Step 5: Solve for x
    x = 5,561,445,629.77/85,423.74
  6. Step 6: Final answer
    x = 65,104.22

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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.