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Finding the Fourth Proportional to 217,172.52, 325,912.68 and 98,859.06

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Solution

The fourth proportional to 217,172.52, 325,912.68 and 98,859.06 is: 148,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,172.52 : 325,912.68 = 98,859.06 : x
  2. Step 2: Convert to fraction form
    217,172.52/325,912.68 = 98,859.06/x
  3. Step 3: Cross multiply
    217,172.52x = 325,912.68 × 98,859.06
  4. Step 4: Simplify right side
    217,172.52x = 32,219,421,186.88
  5. Step 5: Solve for x
    x = 32,219,421,186.88/217,172.52
  6. Step 6: Final answer
    x = 148,358.65

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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.