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Finding the Fourth Proportional to 72,712.74, 109,028.16 and 28,288.74

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Solution

The fourth proportional to 72,712.74, 109,028.16 and 28,288.74 is: 42,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,712.74 : 109,028.16 = 28,288.74 : x
  2. Step 2: Convert to fraction form
    72,712.74/109,028.16 = 28,288.74/x
  3. Step 3: Cross multiply
    72,712.74x = 109,028.16 × 28,288.74
  4. Step 4: Simplify right side
    72,712.74x = 3,084,269,270.92
  5. Step 5: Solve for x
    x = 3,084,269,270.92/72,712.74
  6. Step 6: Final answer
    x = 42,417.18

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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.