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Finding the Fourth Proportional to 68,102.32, 102,153.14 and 17,501.30

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Solution

The fourth proportional to 68,102.32, 102,153.14 and 17,501.30 is: 26,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,102.32 : 102,153.14 = 17,501.30 : x
  2. Step 2: Convert to fraction form
    68,102.32/102,153.14 = 17,501.30/x
  3. Step 3: Cross multiply
    68,102.32x = 102,153.14 × 17,501.30
  4. Step 4: Simplify right side
    68,102.32x = 1,787,812,749.08
  5. Step 5: Solve for x
    x = 1,787,812,749.08/68,102.32
  6. Step 6: Final answer
    x = 26,251.86

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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.