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Finding the Fourth Proportional to 135,907.80, 203,732.10 and 105,905.40

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Solution

The fourth proportional to 135,907.80, 203,732.10 and 105,905.40 is: 158,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,907.80 : 203,732.10 = 105,905.40 : x
  2. Step 2: Convert to fraction form
    135,907.80/203,732.10 = 105,905.40/x
  3. Step 3: Cross multiply
    135,907.80x = 203,732.10 × 105,905.40
  4. Step 4: Simplify right side
    135,907.80x = 21,576,329,543.34
  5. Step 5: Solve for x
    x = 21,576,329,543.34/135,907.80
  6. Step 6: Final answer
    x = 158,757.11

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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.