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Finding the Fourth Proportional to 72,541.08, 108,816.62 and 30,378.71

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Solution

The fourth proportional to 72,541.08, 108,816.62 and 30,378.71 is: 45,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,541.08 : 108,816.62 = 30,378.71 : x
  2. Step 2: Convert to fraction form
    72,541.08/108,816.62 = 30,378.71/x
  3. Step 3: Cross multiply
    72,541.08x = 108,816.62 × 30,378.71
  4. Step 4: Simplify right side
    72,541.08x = 3,305,708,542.16
  5. Step 5: Solve for x
    x = 3,305,708,542.16/72,541.08
  6. Step 6: Final answer
    x = 45,570.16

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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.