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Finding the Fourth Proportional to 145,201.26, 200,377.74 and 81,539.10

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Solution

The fourth proportional to 145,201.26, 200,377.74 and 81,539.10 is: 112,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,201.26 : 200,377.74 = 81,539.10 : x
  2. Step 2: Convert to fraction form
    145,201.26/200,377.74 = 81,539.10/x
  3. Step 3: Cross multiply
    145,201.26x = 200,377.74 × 81,539.10
  4. Step 4: Simplify right side
    145,201.26x = 16,338,620,579.63
  5. Step 5: Solve for x
    x = 16,338,620,579.63/145,201.26
  6. Step 6: Final answer
    x = 112,523.96

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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.