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Finding the Fourth Proportional to 85,374.96, 117,676.44 and 57,070.32

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Solution

The fourth proportional to 85,374.96, 117,676.44 and 57,070.32 is: 78,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,374.96 : 117,676.44 = 57,070.32 : x
  2. Step 2: Convert to fraction form
    85,374.96/117,676.44 = 57,070.32/x
  3. Step 3: Cross multiply
    85,374.96x = 117,676.44 × 57,070.32
  4. Step 4: Simplify right side
    85,374.96x = 6,715,832,087.26
  5. Step 5: Solve for x
    x = 6,715,832,087.26/85,374.96
  6. Step 6: Final answer
    x = 78,662.78

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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.