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Finding the Fourth Proportional to 73,920, 102,011.76 and 40,388.16

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Solution

The fourth proportional to 73,920, 102,011.76 and 40,388.16 is: 55,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,920 : 102,011.76 = 40,388.16 : x
  2. Step 2: Convert to fraction form
    73,920/102,011.76 = 40,388.16/x
  3. Step 3: Cross multiply
    73,920x = 102,011.76 × 40,388.16
  4. Step 4: Simplify right side
    73,920x = 4,120,067,284.76
  5. Step 5: Solve for x
    x = 4,120,067,284.76/73,920
  6. Step 6: Final answer
    x = 55,736.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.