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Finding the Fourth Proportional to 109,170.94, 163,747.00 and 66,465.31

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Solution

The fourth proportional to 109,170.94, 163,747.00 and 66,465.31 is: 99,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,170.94 : 163,747.00 = 66,465.31 : x
  2. Step 2: Convert to fraction form
    109,170.94/163,747.00 = 66,465.31/x
  3. Step 3: Cross multiply
    109,170.94x = 163,747.00 × 66,465.31
  4. Step 4: Simplify right side
    109,170.94x = 10,883,494,541.04
  5. Step 5: Solve for x
    x = 10,883,494,541.04/109,170.94
  6. Step 6: Final answer
    x = 99,692.23

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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.