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Finding the Fourth Proportional to 149,145.57, 205,820.91 and 82,077.57

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Solution

The fourth proportional to 149,145.57, 205,820.91 and 82,077.57 is: 113,267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,145.57 : 205,820.91 = 82,077.57 : x
  2. Step 2: Convert to fraction form
    149,145.57/205,820.91 = 82,077.57/x
  3. Step 3: Cross multiply
    149,145.57x = 205,820.91 × 82,077.57
  4. Step 4: Simplify right side
    149,145.57x = 16,893,280,147.99
  5. Step 5: Solve for x
    x = 16,893,280,147.99/149,145.57
  6. Step 6: Final answer
    x = 113,267.06

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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.