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Finding the Fourth Proportional to 143,166.08, 214,587.08 and 72,896.96

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Solution

The fourth proportional to 143,166.08, 214,587.08 and 72,896.96 is: 109,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,166.08 : 214,587.08 = 72,896.96 : x
  2. Step 2: Convert to fraction form
    143,166.08/214,587.08 = 72,896.96/x
  3. Step 3: Cross multiply
    143,166.08x = 214,587.08 × 72,896.96
  4. Step 4: Simplify right side
    143,166.08x = 15,642,745,787.28
  5. Step 5: Solve for x
    x = 15,642,745,787.28/143,166.08
  6. Step 6: Final answer
    x = 109,262.93

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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.