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Finding the Fourth Proportional to 100,837.43, 138,855.51 and 98,599.74

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Solution

The fourth proportional to 100,837.43, 138,855.51 and 98,599.74 is: 135,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,837.43 : 138,855.51 = 98,599.74 : x
  2. Step 2: Convert to fraction form
    100,837.43/138,855.51 = 98,599.74/x
  3. Step 3: Cross multiply
    100,837.43x = 138,855.51 × 98,599.74
  4. Step 4: Simplify right side
    100,837.43x = 13,691,117,183.57
  5. Step 5: Solve for x
    x = 13,691,117,183.57/100,837.43
  6. Step 6: Final answer
    x = 135,774.16

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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.