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Finding the Fourth Proportional to 117,193.76, 161,727.43 and 63,478.61

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Solution

The fourth proportional to 117,193.76, 161,727.43 and 63,478.61 is: 87,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,193.76 : 161,727.43 = 63,478.61 : x
  2. Step 2: Convert to fraction form
    117,193.76/161,727.43 = 63,478.61/x
  3. Step 3: Cross multiply
    117,193.76x = 161,727.43 × 63,478.61
  4. Step 4: Simplify right side
    117,193.76x = 10,266,232,455.27
  5. Step 5: Solve for x
    x = 10,266,232,455.27/117,193.76
  6. Step 6: Final answer
    x = 87,600.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.