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Finding the Fourth Proportional to 100,434.67, 138,664.77 and 62,234.75

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Solution

The fourth proportional to 100,434.67, 138,664.77 and 62,234.75 is: 85,924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,434.67 : 138,664.77 = 62,234.75 : x
  2. Step 2: Convert to fraction form
    100,434.67/138,664.77 = 62,234.75/x
  3. Step 3: Cross multiply
    100,434.67x = 138,664.77 × 62,234.75
  4. Step 4: Simplify right side
    100,434.67x = 8,629,767,294.76
  5. Step 5: Solve for x
    x = 8,629,767,294.76/100,434.67
  6. Step 6: Final answer
    x = 85,924.19

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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.