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Finding the Fourth Proportional to 135,809.30, 203,733.15 and 42,305.30

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Solution

The fourth proportional to 135,809.30, 203,733.15 and 42,305.30 is: 63,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,809.30 : 203,733.15 = 42,305.30 : x
  2. Step 2: Convert to fraction form
    135,809.30/203,733.15 = 42,305.30/x
  3. Step 3: Cross multiply
    135,809.30x = 203,733.15 × 42,305.30
  4. Step 4: Simplify right side
    135,809.30x = 8,618,992,030.70
  5. Step 5: Solve for x
    x = 8,618,992,030.70/135,809.30
  6. Step 6: Final answer
    x = 63,463.93

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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.