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Finding the Fourth Proportional to 117,354.49, 161,949.29 and 63,639.50

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Solution

The fourth proportional to 117,354.49, 161,949.29 and 63,639.50 is: 87,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,354.49 : 161,949.29 = 63,639.50 : x
  2. Step 2: Convert to fraction form
    117,354.49/161,949.29 = 63,639.50/x
  3. Step 3: Cross multiply
    117,354.49x = 161,949.29 × 63,639.50
  4. Step 4: Simplify right side
    117,354.49x = 10,306,370,713.01
  5. Step 5: Solve for x
    x = 10,306,370,713.01/117,354.49
  6. Step 6: Final answer
    x = 87,822.55

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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.