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Finding the Fourth Proportional to 90,312.64, 135,475.44 and 31,147.44

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Solution

The fourth proportional to 90,312.64, 135,475.44 and 31,147.44 is: 46,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,312.64 : 135,475.44 = 31,147.44 : x
  2. Step 2: Convert to fraction form
    90,312.64/135,475.44 = 31,147.44/x
  3. Step 3: Cross multiply
    90,312.64x = 135,475.44 × 31,147.44
  4. Step 4: Simplify right side
    90,312.64x = 4,219,713,138.87
  5. Step 5: Solve for x
    x = 4,219,713,138.87/90,312.64
  6. Step 6: Final answer
    x = 46,723.39

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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.