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Finding the Fourth Proportional to 66,224, 99,270.38 and 31,100.78

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Solution

The fourth proportional to 66,224, 99,270.38 and 31,100.78 is: 46,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,224 : 99,270.38 = 31,100.78 : x
  2. Step 2: Convert to fraction form
    66,224/99,270.38 = 31,100.78/x
  3. Step 3: Cross multiply
    66,224x = 99,270.38 × 31,100.78
  4. Step 4: Simplify right side
    66,224x = 3,087,386,248.90
  5. Step 5: Solve for x
    x = 3,087,386,248.90/66,224
  6. Step 6: Final answer
    x = 46,620.35

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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.