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Finding the Fourth Proportional to 100,078.53, 149,110.34 and 98,635.11

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Solution

The fourth proportional to 100,078.53, 149,110.34 and 98,635.11 is: 146,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,078.53 : 149,110.34 = 98,635.11 : x
  2. Step 2: Convert to fraction form
    100,078.53/149,110.34 = 98,635.11/x
  3. Step 3: Cross multiply
    100,078.53x = 149,110.34 × 98,635.11
  4. Step 4: Simplify right side
    100,078.53x = 14,707,514,788.04
  5. Step 5: Solve for x
    x = 14,707,514,788.04/100,078.53
  6. Step 6: Final answer
    x = 146,959.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.