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Finding the Fourth Proportional to 57,415.98, 86,128.29 and 15,295.89

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Solution

The fourth proportional to 57,415.98, 86,128.29 and 15,295.89 is: 22,944.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,415.98 : 86,128.29 = 15,295.89 : x
  2. Step 2: Convert to fraction form
    57,415.98/86,128.29 = 15,295.89/x
  3. Step 3: Cross multiply
    57,415.98x = 86,128.29 × 15,295.89
  4. Step 4: Simplify right side
    57,415.98x = 1,317,408,849.73
  5. Step 5: Solve for x
    x = 1,317,408,849.73/57,415.98
  6. Step 6: Final answer
    x = 22,944.99

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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.