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Finding the Fourth Proportional to 66,027.16, 91,116.66 and 35,812

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Solution

The fourth proportional to 66,027.16, 91,116.66 and 35,812 is: 49,420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,027.16 : 91,116.66 = 35,812 : x
  2. Step 2: Convert to fraction form
    66,027.16/91,116.66 = 35,812/x
  3. Step 3: Cross multiply
    66,027.16x = 91,116.66 × 35,812
  4. Step 4: Simplify right side
    66,027.16x = 3,263,069,827.92
  5. Step 5: Solve for x
    x = 3,263,069,827.92/66,027.16
  6. Step 6: Final answer
    x = 49,420.11

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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.