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Finding the Fourth Proportional to 149,946, 206,925.46 and 81,963.25

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Solution

The fourth proportional to 149,946, 206,925.46 and 81,963.25 is: 113,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,946 : 206,925.46 = 81,963.25 : x
  2. Step 2: Convert to fraction form
    149,946/206,925.46 = 81,963.25/x
  3. Step 3: Cross multiply
    149,946x = 206,925.46 × 81,963.25
  4. Step 4: Simplify right side
    149,946x = 16,960,282,487.12
  5. Step 5: Solve for x
    x = 16,960,282,487.12/149,946
  6. Step 6: Final answer
    x = 113,109.27

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1.5x scale

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.