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Finding the Fourth Proportional to 58,578.21, 87,849.16 and 21,133.42

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Solution

The fourth proportional to 58,578.21, 87,849.16 and 21,133.42 is: 31,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,578.21 : 87,849.16 = 21,133.42 : x
  2. Step 2: Convert to fraction form
    58,578.21/87,849.16 = 21,133.42/x
  3. Step 3: Cross multiply
    58,578.21x = 87,849.16 × 21,133.42
  4. Step 4: Simplify right side
    58,578.21x = 1,856,553,416.62
  5. Step 5: Solve for x
    x = 1,856,553,416.62/58,578.21
  6. Step 6: Final answer
    x = 31,693.58

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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.