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Finding the Fourth Proportional to 206,802.19, 285,380.80 and 114,921.16

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Solution

The fourth proportional to 206,802.19, 285,380.80 and 114,921.16 is: 158,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,802.19 : 285,380.80 = 114,921.16 : x
  2. Step 2: Convert to fraction form
    206,802.19/285,380.80 = 114,921.16/x
  3. Step 3: Cross multiply
    206,802.19x = 285,380.80 × 114,921.16
  4. Step 4: Simplify right side
    206,802.19x = 32,796,292,003.12
  5. Step 5: Solve for x
    x = 32,796,292,003.12/206,802.19
  6. Step 6: Final answer
    x = 158,587.74

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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.