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Finding the Fourth Proportional to 57,911, 86,866.86 and 16,358.36

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Solution

The fourth proportional to 57,911, 86,866.86 and 16,358.36 is: 24,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,911 : 86,866.86 = 16,358.36 : x
  2. Step 2: Convert to fraction form
    57,911/86,866.86 = 16,358.36/x
  3. Step 3: Cross multiply
    57,911x = 86,866.86 × 16,358.36
  4. Step 4: Simplify right side
    57,911x = 1,420,999,367.95
  5. Step 5: Solve for x
    x = 1,420,999,367.95/57,911
  6. Step 6: Final answer
    x = 24,537.64

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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.