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Finding the Fourth Proportional to 72,974.10, 100,702.89 and 41,143.02

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Solution

The fourth proportional to 72,974.10, 100,702.89 and 41,143.02 is: 56,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,974.10 : 100,702.89 = 41,143.02 : x
  2. Step 2: Convert to fraction form
    72,974.10/100,702.89 = 41,143.02/x
  3. Step 3: Cross multiply
    72,974.10x = 100,702.89 × 41,143.02
  4. Step 4: Simplify right side
    72,974.10x = 4,143,221,017.33
  5. Step 5: Solve for x
    x = 4,143,221,017.33/72,974.10
  6. Step 6: Final answer
    x = 56,776.60

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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.