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Finding the Fourth Proportional to 90,222.95, 135,272.92 and 45,763.98

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Solution

The fourth proportional to 90,222.95, 135,272.92 and 45,763.98 is: 68,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,222.95 : 135,272.92 = 45,763.98 : x
  2. Step 2: Convert to fraction form
    90,222.95/135,272.92 = 45,763.98/x
  3. Step 3: Cross multiply
    90,222.95x = 135,272.92 × 45,763.98
  4. Step 4: Simplify right side
    90,222.95x = 6,190,627,205.42
  5. Step 5: Solve for x
    x = 6,190,627,205.42/90,222.95
  6. Step 6: Final answer
    x = 68,614.77

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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.