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Finding the Fourth Proportional to 135,775.53, 203,663.28 and 42,288.57

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Solution

The fourth proportional to 135,775.53, 203,663.28 and 42,288.57 is: 63,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,775.53 : 203,663.28 = 42,288.57 : x
  2. Step 2: Convert to fraction form
    135,775.53/203,663.28 = 42,288.57/x
  3. Step 3: Cross multiply
    135,775.53x = 203,663.28 × 42,288.57
  4. Step 4: Simplify right side
    135,775.53x = 8,612,628,872.71
  5. Step 5: Solve for x
    x = 8,612,628,872.71/135,775.53
  6. Step 6: Final answer
    x = 63,432.85

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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.