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Finding the Fourth Proportional to 67,813.59, 101,708.78 and 17,894.21

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Solution

The fourth proportional to 67,813.59, 101,708.78 and 17,894.21 is: 26,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,813.59 : 101,708.78 = 17,894.21 : x
  2. Step 2: Convert to fraction form
    67,813.59/101,708.78 = 17,894.21/x
  3. Step 3: Cross multiply
    67,813.59x = 101,708.78 × 17,894.21
  4. Step 4: Simplify right side
    67,813.59x = 1,819,997,670.15
  5. Step 5: Solve for x
    x = 1,819,997,670.15/67,813.59
  6. Step 6: Final answer
    x = 26,838.24

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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.