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Finding the Fourth Proportional to 57,645.62, 86,464.91 and 21,614.96

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Solution

The fourth proportional to 57,645.62, 86,464.91 and 21,614.96 is: 32,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,645.62 : 86,464.91 = 21,614.96 : x
  2. Step 2: Convert to fraction form
    57,645.62/86,464.91 = 21,614.96/x
  3. Step 3: Cross multiply
    57,645.62x = 86,464.91 × 21,614.96
  4. Step 4: Simplify right side
    57,645.62x = 1,868,935,030.65
  5. Step 5: Solve for x
    x = 1,868,935,030.65/57,645.62
  6. Step 6: Final answer
    x = 32,421.11

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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.