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Finding the Fourth Proportional to 72,585.84, 108,921.08 and 30,462.36

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Solution

The fourth proportional to 72,585.84, 108,921.08 and 30,462.36 is: 45,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,585.84 : 108,921.08 = 30,462.36 : x
  2. Step 2: Convert to fraction form
    72,585.84/108,921.08 = 30,462.36/x
  3. Step 3: Cross multiply
    72,585.84x = 108,921.08 × 30,462.36
  4. Step 4: Simplify right side
    72,585.84x = 3,317,993,150.55
  5. Step 5: Solve for x
    x = 3,317,993,150.55/72,585.84
  6. Step 6: Final answer
    x = 45,711.30

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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.