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Finding the Fourth Proportional to 217,008.30, 325,510.01 and 76,734.12

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Solution

The fourth proportional to 217,008.30, 325,510.01 and 76,734.12 is: 115,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,008.30 : 325,510.01 = 76,734.12 : x
  2. Step 2: Convert to fraction form
    217,008.30/325,510.01 = 76,734.12/x
  3. Step 3: Cross multiply
    217,008.30x = 325,510.01 × 76,734.12
  4. Step 4: Simplify right side
    217,008.30x = 24,977,723,139.71
  5. Step 5: Solve for x
    x = 24,977,723,139.71/217,008.30
  6. Step 6: Final answer
    x = 115,100.31

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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.