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Finding the Fourth Proportional to 218,098.64, 327,148.47 and 66,297.11

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Solution

The fourth proportional to 218,098.64, 327,148.47 and 66,297.11 is: 99,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,098.64 : 327,148.47 = 66,297.11 : x
  2. Step 2: Convert to fraction form
    218,098.64/327,148.47 = 66,297.11/x
  3. Step 3: Cross multiply
    218,098.64x = 327,148.47 × 66,297.11
  4. Step 4: Simplify right side
    218,098.64x = 21,688,996,466.18
  5. Step 5: Solve for x
    x = 21,688,996,466.18/218,098.64
  6. Step 6: Final answer
    x = 99,445.81

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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.