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Finding the Fourth Proportional to 90,462.30, 135,712.89 and 37,844.70

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Solution

The fourth proportional to 90,462.30, 135,712.89 and 37,844.70 is: 56,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,462.30 : 135,712.89 = 37,844.70 : x
  2. Step 2: Convert to fraction form
    90,462.30/135,712.89 = 37,844.70/x
  3. Step 3: Cross multiply
    90,462.30x = 135,712.89 × 37,844.70
  4. Step 4: Simplify right side
    90,462.30x = 5,136,013,608.18
  5. Step 5: Solve for x
    x = 5,136,013,608.18/90,462.30
  6. Step 6: Final answer
    x = 56,775.18

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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.