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Finding the Fourth Proportional to 71,374.83, 107,062.33 and 21,454.93

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Solution

The fourth proportional to 71,374.83, 107,062.33 and 21,454.93 is: 32,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,374.83 : 107,062.33 = 21,454.93 : x
  2. Step 2: Convert to fraction form
    71,374.83/107,062.33 = 21,454.93/x
  3. Step 3: Cross multiply
    71,374.83x = 107,062.33 × 21,454.93
  4. Step 4: Simplify right side
    71,374.83x = 2,297,014,795.79
  5. Step 5: Solve for x
    x = 2,297,014,795.79/71,374.83
  6. Step 6: Final answer
    x = 32,182.42

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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.