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Finding the Fourth Proportional to 135,005.80, 202,265.70 and 107,109.40

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Solution

The fourth proportional to 135,005.80, 202,265.70 and 107,109.40 is: 160,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,005.80 : 202,265.70 = 107,109.40 : x
  2. Step 2: Convert to fraction form
    135,005.80/202,265.70 = 107,109.40/x
  3. Step 3: Cross multiply
    135,005.80x = 202,265.70 × 107,109.40
  4. Step 4: Simplify right side
    135,005.80x = 21,664,557,767.58
  5. Step 5: Solve for x
    x = 21,664,557,767.58/135,005.80
  6. Step 6: Final answer
    x = 160,471.31

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1.5x scale

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.