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Finding the Fourth Proportional to 135,780.98, 203,495.76 and 75,807.90

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Solution

The fourth proportional to 135,780.98, 203,495.76 and 75,807.90 is: 113,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,780.98 : 203,495.76 = 75,807.90 : x
  2. Step 2: Convert to fraction form
    135,780.98/203,495.76 = 75,807.90/x
  3. Step 3: Cross multiply
    135,780.98x = 203,495.76 × 75,807.90
  4. Step 4: Simplify right side
    135,780.98x = 15,426,586,224.50
  5. Step 5: Solve for x
    x = 15,426,586,224.50/135,780.98
  6. Step 6: Final answer
    x = 113,613.75

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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.