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Finding the Fourth Proportional to 66,972, 100,459.92 and 17,724

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Solution

The fourth proportional to 66,972, 100,459.92 and 17,724 is: 26,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,972 : 100,459.92 = 17,724 : x
  2. Step 2: Convert to fraction form
    66,972/100,459.92 = 17,724/x
  3. Step 3: Cross multiply
    66,972x = 100,459.92 × 17,724
  4. Step 4: Simplify right side
    66,972x = 1,780,551,622.08
  5. Step 5: Solve for x
    x = 1,780,551,622.08/66,972
  6. Step 6: Final answer
    x = 26,586.51

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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.