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Finding the Fourth Proportional to 99,894.70, 149,788.74 and 43,669

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Solution

The fourth proportional to 99,894.70, 149,788.74 and 43,669 is: 65,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,894.70 : 149,788.74 = 43,669 : x
  2. Step 2: Convert to fraction form
    99,894.70/149,788.74 = 43,669/x
  3. Step 3: Cross multiply
    99,894.70x = 149,788.74 × 43,669
  4. Step 4: Simplify right side
    99,894.70x = 6,541,124,487.06
  5. Step 5: Solve for x
    x = 6,541,124,487.06/99,894.70
  6. Step 6: Final answer
    x = 65,480.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.