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Finding the Fourth Proportional to 118,716.84, 163,822.50 and 64,991.16

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Solution

The fourth proportional to 118,716.84, 163,822.50 and 64,991.16 is: 89,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,716.84 : 163,822.50 = 64,991.16 : x
  2. Step 2: Convert to fraction form
    118,716.84/163,822.50 = 64,991.16/x
  3. Step 3: Cross multiply
    118,716.84x = 163,822.50 × 64,991.16
  4. Step 4: Simplify right side
    118,716.84x = 10,647,014,309.10
  5. Step 5: Solve for x
    x = 10,647,014,309.10/118,716.84
  6. Step 6: Final answer
    x = 89,684.11

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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.