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Finding the Fourth Proportional to 90,438.56, 135,677.30 and 30,473

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Solution

The fourth proportional to 90,438.56, 135,677.30 and 30,473 is: 45,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,438.56 : 135,677.30 = 30,473 : x
  2. Step 2: Convert to fraction form
    90,438.56/135,677.30 = 30,473/x
  3. Step 3: Cross multiply
    90,438.56x = 135,677.30 × 30,473
  4. Step 4: Simplify right side
    90,438.56x = 4,134,494,362.90
  5. Step 5: Solve for x
    x = 4,134,494,362.90/90,438.56
  6. Step 6: Final answer
    x = 45,716.06

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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.