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Finding the Fourth Proportional to 100,141.50, 138,181.50 and 59,846.70

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Solution

The fourth proportional to 100,141.50, 138,181.50 and 59,846.70 is: 82,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,141.50 : 138,181.50 = 59,846.70 : x
  2. Step 2: Convert to fraction form
    100,141.50/138,181.50 = 59,846.70/x
  3. Step 3: Cross multiply
    100,141.50x = 138,181.50 × 59,846.70
  4. Step 4: Simplify right side
    100,141.50x = 8,269,706,776.05
  5. Step 5: Solve for x
    x = 8,269,706,776.05/100,141.50
  6. Step 6: Final answer
    x = 82,580.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.