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Finding the Fourth Proportional to 143,783.82, 215,652.34 and 67,882.21

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Solution

The fourth proportional to 143,783.82, 215,652.34 and 67,882.21 is: 101,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,783.82 : 215,652.34 = 67,882.21 : x
  2. Step 2: Convert to fraction form
    143,783.82/215,652.34 = 67,882.21/x
  3. Step 3: Cross multiply
    143,783.82x = 215,652.34 × 67,882.21
  4. Step 4: Simplify right side
    143,783.82x = 14,638,956,352.61
  5. Step 5: Solve for x
    x = 14,638,956,352.61/143,783.82
  6. Step 6: Final answer
    x = 101,812.26

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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.