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Finding the Fourth Proportional to 73,902.86, 110,853.47 and 21,310.64

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Solution

The fourth proportional to 73,902.86, 110,853.47 and 21,310.64 is: 31,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,902.86 : 110,853.47 = 21,310.64 : x
  2. Step 2: Convert to fraction form
    73,902.86/110,853.47 = 21,310.64/x
  3. Step 3: Cross multiply
    73,902.86x = 110,853.47 × 21,310.64
  4. Step 4: Simplify right side
    73,902.86x = 2,362,357,837.65
  5. Step 5: Solve for x
    x = 2,362,357,837.65/73,902.86
  6. Step 6: Final answer
    x = 31,965.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.