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Finding the Fourth Proportional to 72,542.77, 108,748.46 and 25,784.71

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Solution

The fourth proportional to 72,542.77, 108,748.46 and 25,784.71 is: 38,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,542.77 : 108,748.46 = 25,784.71 : x
  2. Step 2: Convert to fraction form
    72,542.77/108,748.46 = 25,784.71/x
  3. Step 3: Cross multiply
    72,542.77x = 108,748.46 × 25,784.71
  4. Step 4: Simplify right side
    72,542.77x = 2,804,047,296.64
  5. Step 5: Solve for x
    x = 2,804,047,296.64/72,542.77
  6. Step 6: Final answer
    x = 38,653.71

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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.