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Finding the Fourth Proportional to 86,958.96, 130,438.44 and 31,542

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Solution

The fourth proportional to 86,958.96, 130,438.44 and 31,542 is: 47,313

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,958.96 : 130,438.44 = 31,542 : x
  2. Step 2: Convert to fraction form
    86,958.96/130,438.44 = 31,542/x
  3. Step 3: Cross multiply
    86,958.96x = 130,438.44 × 31,542
  4. Step 4: Simplify right side
    86,958.96x = 4,114,289,274.48
  5. Step 5: Solve for x
    x = 4,114,289,274.48/86,958.96
  6. Step 6: Final answer
    x = 47,313

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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.