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Finding the Fourth Proportional to 72,586.53, 108,921.51 and 30,462.75

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Solution

The fourth proportional to 72,586.53, 108,921.51 and 30,462.75 is: 45,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,586.53 : 108,921.51 = 30,462.75 : x
  2. Step 2: Convert to fraction form
    72,586.53/108,921.51 = 30,462.75/x
  3. Step 3: Cross multiply
    72,586.53x = 108,921.51 × 30,462.75
  4. Step 4: Simplify right side
    72,586.53x = 3,318,048,728.75
  5. Step 5: Solve for x
    x = 3,318,048,728.75/72,586.53
  6. Step 6: Final answer
    x = 45,711.63

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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.