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Finding the Fourth Proportional to 57,421.86, 86,123.07 and 15,868.86

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Solution

The fourth proportional to 57,421.86, 86,123.07 and 15,868.86 is: 23,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,421.86 : 86,123.07 = 15,868.86 : x
  2. Step 2: Convert to fraction form
    57,421.86/86,123.07 = 15,868.86/x
  3. Step 3: Cross multiply
    57,421.86x = 86,123.07 × 15,868.86
  4. Step 4: Simplify right side
    57,421.86x = 1,366,674,940.60
  5. Step 5: Solve for x
    x = 1,366,674,940.60/57,421.86
  6. Step 6: Final answer
    x = 23,800.60

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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.