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Finding the Fourth Proportional to 72,638.60, 108,974.10 and 28,261.40

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Solution

The fourth proportional to 72,638.60, 108,974.10 and 28,261.40 is: 42,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,638.60 : 108,974.10 = 28,261.40 : x
  2. Step 2: Convert to fraction form
    72,638.60/108,974.10 = 28,261.40/x
  3. Step 3: Cross multiply
    72,638.60x = 108,974.10 × 28,261.40
  4. Step 4: Simplify right side
    72,638.60x = 3,079,760,629.74
  5. Step 5: Solve for x
    x = 3,079,760,629.74/72,638.60
  6. Step 6: Final answer
    x = 42,398.40

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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.