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Finding the Fourth Proportional to 67,756.78, 101,641.43 and 17,837.14

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Solution

The fourth proportional to 67,756.78, 101,641.43 and 17,837.14 is: 26,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,756.78 : 101,641.43 = 17,837.14 : x
  2. Step 2: Convert to fraction form
    67,756.78/101,641.43 = 17,837.14/x
  3. Step 3: Cross multiply
    67,756.78x = 101,641.43 × 17,837.14
  4. Step 4: Simplify right side
    67,756.78x = 1,812,992,416.71
  5. Step 5: Solve for x
    x = 1,812,992,416.71/67,756.78
  6. Step 6: Final answer
    x = 26,757.36

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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.