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Finding the Fourth Proportional to 72,869.52, 109,308.22 and 22,953.54

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Solution

The fourth proportional to 72,869.52, 109,308.22 and 22,953.54 is: 34,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,869.52 : 109,308.22 = 22,953.54 : x
  2. Step 2: Convert to fraction form
    72,869.52/109,308.22 = 22,953.54/x
  3. Step 3: Cross multiply
    72,869.52x = 109,308.22 × 22,953.54
  4. Step 4: Simplify right side
    72,869.52x = 2,509,010,600.10
  5. Step 5: Solve for x
    x = 2,509,010,600.10/72,869.52
  6. Step 6: Final answer
    x = 34,431.55

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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.