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Finding the Fourth Proportional to 141,709.76, 212,379.84 and 71,551.04

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Solution

The fourth proportional to 141,709.76, 212,379.84 and 71,551.04 is: 107,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,709.76 : 212,379.84 = 71,551.04 : x
  2. Step 2: Convert to fraction form
    141,709.76/212,379.84 = 71,551.04/x
  3. Step 3: Cross multiply
    141,709.76x = 212,379.84 × 71,551.04
  4. Step 4: Simplify right side
    141,709.76x = 15,195,998,427.03
  5. Step 5: Solve for x
    x = 15,195,998,427.03/141,709.76
  6. Step 6: Final answer
    x = 107,233.25

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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.