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Finding the Fourth Proportional to 68,257.57, 102,385.95 and 17,656.60

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Solution

The fourth proportional to 68,257.57, 102,385.95 and 17,656.60 is: 26,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,257.57 : 102,385.95 = 17,656.60 : x
  2. Step 2: Convert to fraction form
    68,257.57/102,385.95 = 17,656.60/x
  3. Step 3: Cross multiply
    68,257.57x = 102,385.95 × 17,656.60
  4. Step 4: Simplify right side
    68,257.57x = 1,807,787,764.77
  5. Step 5: Solve for x
    x = 1,807,787,764.77/68,257.57
  6. Step 6: Final answer
    x = 26,484.80

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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.