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Finding the Fourth Proportional to 117,890, 162,688.21 and 64,175.41

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Solution

The fourth proportional to 117,890, 162,688.21 and 64,175.41 is: 88,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,890 : 162,688.21 = 64,175.41 : x
  2. Step 2: Convert to fraction form
    117,890/162,688.21 = 64,175.41/x
  3. Step 3: Cross multiply
    117,890x = 162,688.21 × 64,175.41
  4. Step 4: Simplify right side
    117,890x = 10,440,582,578.92
  5. Step 5: Solve for x
    x = 10,440,582,578.92/117,890
  6. Step 6: Final answer
    x = 88,562.07

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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.