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Finding the Fourth Proportional to 133,907.31, 200,784.85 and 103,501.69

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Solution

The fourth proportional to 133,907.31, 200,784.85 and 103,501.69 is: 155,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,907.31 : 200,784.85 = 103,501.69 : x
  2. Step 2: Convert to fraction form
    133,907.31/200,784.85 = 103,501.69/x
  3. Step 3: Cross multiply
    133,907.31x = 200,784.85 × 103,501.69
  4. Step 4: Simplify right side
    133,907.31x = 20,781,570,540.68
  5. Step 5: Solve for x
    x = 20,781,570,540.68/133,907.31
  6. Step 6: Final answer
    x = 155,193.70

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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.