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Finding the Fourth Proportional to 144,709.42, 215,780.92 and 135,057.46

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Solution

The fourth proportional to 144,709.42, 215,780.92 and 135,057.46 is: 201,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,709.42 : 215,780.92 = 135,057.46 : x
  2. Step 2: Convert to fraction form
    144,709.42/215,780.92 = 135,057.46/x
  3. Step 3: Cross multiply
    144,709.42x = 215,780.92 × 135,057.46
  4. Step 4: Simplify right side
    144,709.42x = 29,142,822,971.66
  5. Step 5: Solve for x
    x = 29,142,822,971.66/144,709.42
  6. Step 6: Final answer
    x = 201,388.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.