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Finding the Fourth Proportional to 72,182.20, 108,143.70 and 61,814.20

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Solution

The fourth proportional to 72,182.20, 108,143.70 and 61,814.20 is: 92,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,182.20 : 108,143.70 = 61,814.20 : x
  2. Step 2: Convert to fraction form
    72,182.20/108,143.70 = 61,814.20/x
  3. Step 3: Cross multiply
    72,182.20x = 108,143.70 × 61,814.20
  4. Step 4: Simplify right side
    72,182.20x = 6,684,816,300.54
  5. Step 5: Solve for x
    x = 6,684,816,300.54/72,182.20
  6. Step 6: Final answer
    x = 92,610.32

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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.