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Finding the Fourth Proportional to 141,649.84, 212,605.96 and 71,578.32

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Solution

The fourth proportional to 141,649.84, 212,605.96 and 71,578.32 is: 107,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,649.84 : 212,605.96 = 71,578.32 : x
  2. Step 2: Convert to fraction form
    141,649.84/212,605.96 = 71,578.32/x
  3. Step 3: Cross multiply
    141,649.84x = 212,605.96 × 71,578.32
  4. Step 4: Simplify right side
    141,649.84x = 15,217,977,438.79
  5. Step 5: Solve for x
    x = 15,217,977,438.79/141,649.84
  6. Step 6: Final answer
    x = 107,433.78

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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.