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Finding the Fourth Proportional to 217,159.23, 325,782.30 and 75,009.69

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Solution

The fourth proportional to 217,159.23, 325,782.30 and 75,009.69 is: 112,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,159.23 : 325,782.30 = 75,009.69 : x
  2. Step 2: Convert to fraction form
    217,159.23/325,782.30 = 75,009.69/x
  3. Step 3: Cross multiply
    217,159.23x = 325,782.30 × 75,009.69
  4. Step 4: Simplify right side
    217,159.23x = 24,436,829,330.49
  5. Step 5: Solve for x
    x = 24,436,829,330.49/217,159.23
  6. Step 6: Final answer
    x = 112,529.54

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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.