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Finding the Fourth Proportional to 145,874.88, 201,309.76 and 82,213.76

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Solution

The fourth proportional to 145,874.88, 201,309.76 and 82,213.76 is: 113,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,874.88 : 201,309.76 = 82,213.76 : x
  2. Step 2: Convert to fraction form
    145,874.88/201,309.76 = 82,213.76/x
  3. Step 3: Cross multiply
    145,874.88x = 201,309.76 × 82,213.76
  4. Step 4: Simplify right side
    145,874.88x = 16,550,432,294.30
  5. Step 5: Solve for x
    x = 16,550,432,294.30/145,874.88
  6. Step 6: Final answer
    x = 113,456.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.