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Finding the Fourth Proportional to 206,049.40, 309,365.70 and 161,726.20

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Solution

The fourth proportional to 206,049.40, 309,365.70 and 161,726.20 is: 242,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,049.40 : 309,365.70 = 161,726.20 : x
  2. Step 2: Convert to fraction form
    206,049.40/309,365.70 = 161,726.20/x
  3. Step 3: Cross multiply
    206,049.40x = 309,365.70 × 161,726.20
  4. Step 4: Simplify right side
    206,049.40x = 50,032,539,071.34
  5. Step 5: Solve for x
    x = 50,032,539,071.34/206,049.40
  6. Step 6: Final answer
    x = 242,818.17

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1.5x scale

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.