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Finding the Fourth Proportional to 206,802.90, 310,204.35 and 88,486.20

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Solution

The fourth proportional to 206,802.90, 310,204.35 and 88,486.20 is: 132,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,802.90 : 310,204.35 = 88,486.20 : x
  2. Step 2: Convert to fraction form
    206,802.90/310,204.35 = 88,486.20/x
  3. Step 3: Cross multiply
    206,802.90x = 310,204.35 × 88,486.20
  4. Step 4: Simplify right side
    206,802.90x = 27,448,804,154.97
  5. Step 5: Solve for x
    x = 27,448,804,154.97/206,802.90
  6. Step 6: Final answer
    x = 132,729.30

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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.