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Finding the Fourth Proportional to 149,960.69, 206,946.17 and 81,978.48

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Solution

The fourth proportional to 149,960.69, 206,946.17 and 81,978.48 is: 113,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,960.69 : 206,946.17 = 81,978.48 : x
  2. Step 2: Convert to fraction form
    149,960.69/206,946.17 = 81,978.48/x
  3. Step 3: Cross multiply
    149,960.69x = 206,946.17 × 81,978.48
  4. Step 4: Simplify right side
    149,960.69x = 16,965,132,125.38
  5. Step 5: Solve for x
    x = 16,965,132,125.38/149,960.69
  6. Step 6: Final answer
    x = 113,130.53

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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.