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Finding the Fourth Proportional to 143,269.12, 214,905.30 and 43,428.52

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Solution

The fourth proportional to 143,269.12, 214,905.30 and 43,428.52 is: 65,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,269.12 : 214,905.30 = 43,428.52 : x
  2. Step 2: Convert to fraction form
    143,269.12/214,905.30 = 43,428.52/x
  3. Step 3: Cross multiply
    143,269.12x = 214,905.30 × 43,428.52
  4. Step 4: Simplify right side
    143,269.12x = 9,333,019,119.16
  5. Step 5: Solve for x
    x = 9,333,019,119.16/143,269.12
  6. Step 6: Final answer
    x = 65,143.27

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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.