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Finding the Fourth Proportional to 85,104.16, 117,404.32 and 54,899.22

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Solution

The fourth proportional to 85,104.16, 117,404.32 and 54,899.22 is: 75,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,104.16 : 117,404.32 = 54,899.22 : x
  2. Step 2: Convert to fraction form
    85,104.16/117,404.32 = 54,899.22/x
  3. Step 3: Cross multiply
    85,104.16x = 117,404.32 × 54,899.22
  4. Step 4: Simplify right side
    85,104.16x = 6,445,405,592.63
  5. Step 5: Solve for x
    x = 6,445,405,592.63/85,104.16
  6. Step 6: Final answer
    x = 75,735.49

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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.