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Finding the Fourth Proportional to 81,140.99, 121,811.72 and 38,487.20

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Solution

The fourth proportional to 81,140.99, 121,811.72 and 38,487.20 is: 57,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,140.99 : 121,811.72 = 38,487.20 : x
  2. Step 2: Convert to fraction form
    81,140.99/121,811.72 = 38,487.20/x
  3. Step 3: Cross multiply
    81,140.99x = 121,811.72 × 38,487.20
  4. Step 4: Simplify right side
    81,140.99x = 4,688,191,228.49
  5. Step 5: Solve for x
    x = 4,688,191,228.49/81,140.99
  6. Step 6: Final answer
    x = 57,778.34

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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.