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Finding the Fourth Proportional to 66,976.16, 100,477.68 and 20,233.12

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Solution

The fourth proportional to 66,976.16, 100,477.68 and 20,233.12 is: 30,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,976.16 : 100,477.68 = 20,233.12 : x
  2. Step 2: Convert to fraction form
    66,976.16/100,477.68 = 20,233.12/x
  3. Step 3: Cross multiply
    66,976.16x = 100,477.68 × 20,233.12
  4. Step 4: Simplify right side
    66,976.16x = 2,032,976,956.76
  5. Step 5: Solve for x
    x = 2,032,976,956.76/66,976.16
  6. Step 6: Final answer
    x = 30,353.74

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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.