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Finding the Fourth Proportional to 90,577, 135,880.86 and 28,235.08

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Solution

The fourth proportional to 90,577, 135,880.86 and 28,235.08 is: 42,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,577 : 135,880.86 = 28,235.08 : x
  2. Step 2: Convert to fraction form
    90,577/135,880.86 = 28,235.08/x
  3. Step 3: Cross multiply
    90,577x = 135,880.86 × 28,235.08
  4. Step 4: Simplify right side
    90,577x = 3,836,606,952.57
  5. Step 5: Solve for x
    x = 3,836,606,952.57/90,577
  6. Step 6: Final answer
    x = 42,357.41

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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.