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Finding the Fourth Proportional to 90,197, 135,294.08 and 31,033.18

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Solution

The fourth proportional to 90,197, 135,294.08 and 31,033.18 is: 46,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,197 : 135,294.08 = 31,033.18 : x
  2. Step 2: Convert to fraction form
    90,197/135,294.08 = 31,033.18/x
  3. Step 3: Cross multiply
    90,197x = 135,294.08 × 31,033.18
  4. Step 4: Simplify right side
    90,197x = 4,198,605,537.57
  5. Step 5: Solve for x
    x = 4,198,605,537.57/90,197
  6. Step 6: Final answer
    x = 46,549.28

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1.5x scale

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.