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Finding the Fourth Proportional to 90,855, 136,283.10 and 31,690.44

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Solution

The fourth proportional to 90,855, 136,283.10 and 31,690.44 is: 47,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,855 : 136,283.10 = 31,690.44 : x
  2. Step 2: Convert to fraction form
    90,855/136,283.10 = 31,690.44/x
  3. Step 3: Cross multiply
    90,855x = 136,283.10 × 31,690.44
  4. Step 4: Simplify right side
    90,855x = 4,318,871,403.56
  5. Step 5: Solve for x
    x = 4,318,871,403.56/90,855
  6. Step 6: Final answer
    x = 47,535.87

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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.