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Finding the Fourth Proportional to 143,068, 214,532.16 and 43,209.04

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Solution

The fourth proportional to 143,068, 214,532.16 and 43,209.04 is: 64,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,068 : 214,532.16 = 43,209.04 : x
  2. Step 2: Convert to fraction form
    143,068/214,532.16 = 43,209.04/x
  3. Step 3: Cross multiply
    143,068x = 214,532.16 × 43,209.04
  4. Step 4: Simplify right side
    143,068x = 9,269,728,682.73
  5. Step 5: Solve for x
    x = 9,269,728,682.73/143,068
  6. Step 6: Final answer
    x = 64,792.47

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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.