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Finding the Fourth Proportional to 86,702.73, 119,646.09 and 54,454.20

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Solution

The fourth proportional to 86,702.73, 119,646.09 and 54,454.20 is: 75,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,702.73 : 119,646.09 = 54,454.20 : x
  2. Step 2: Convert to fraction form
    86,702.73/119,646.09 = 54,454.20/x
  3. Step 3: Cross multiply
    86,702.73x = 119,646.09 × 54,454.20
  4. Step 4: Simplify right side
    86,702.73x = 6,515,232,114.08
  5. Step 5: Solve for x
    x = 6,515,232,114.08/86,702.73
  6. Step 6: Final answer
    x = 75,144.49

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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.