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Finding the Fourth Proportional to 99,661, 149,492.04 and 25,789

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Solution

The fourth proportional to 99,661, 149,492.04 and 25,789 is: 38,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,661 : 149,492.04 = 25,789 : x
  2. Step 2: Convert to fraction form
    99,661/149,492.04 = 25,789/x
  3. Step 3: Cross multiply
    99,661x = 149,492.04 × 25,789
  4. Step 4: Simplify right side
    99,661x = 3,855,250,219.56
  5. Step 5: Solve for x
    x = 3,855,250,219.56/99,661
  6. Step 6: Final answer
    x = 38,683.64

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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.