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Finding the Fourth Proportional to 98,919.21, 136,433.17 and 85,144.99

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Solution

The fourth proportional to 98,919.21, 136,433.17 and 85,144.99 is: 117,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,919.21 : 136,433.17 = 85,144.99 : x
  2. Step 2: Convert to fraction form
    98,919.21/136,433.17 = 85,144.99/x
  3. Step 3: Cross multiply
    98,919.21x = 136,433.17 × 85,144.99
  4. Step 4: Simplify right side
    98,919.21x = 11,616,600,895.32
  5. Step 5: Solve for x
    x = 11,616,600,895.32/98,919.21
  6. Step 6: Final answer
    x = 117,435.24

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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.