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Finding the Fourth Proportional to 85,354.72, 117,702.12 and 56,664.28

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Solution

The fourth proportional to 85,354.72, 117,702.12 and 56,664.28 is: 78,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,354.72 : 117,702.12 = 56,664.28 : x
  2. Step 2: Convert to fraction form
    85,354.72/117,702.12 = 56,664.28/x
  3. Step 3: Cross multiply
    85,354.72x = 117,702.12 × 56,664.28
  4. Step 4: Simplify right side
    85,354.72x = 6,669,505,884.27
  5. Step 5: Solve for x
    x = 6,669,505,884.27/85,354.72
  6. Step 6: Final answer
    x = 78,138.69

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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.