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Finding the Fourth Proportional to 206,886.40, 310,483.20 and 82,316.80

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Solution

The fourth proportional to 206,886.40, 310,483.20 and 82,316.80 is: 123,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,886.40 : 310,483.20 = 82,316.80 : x
  2. Step 2: Convert to fraction form
    206,886.40/310,483.20 = 82,316.80/x
  3. Step 3: Cross multiply
    206,886.40x = 310,483.20 × 82,316.80
  4. Step 4: Simplify right side
    206,886.40x = 25,557,983,477.76
  5. Step 5: Solve for x
    x = 25,557,983,477.76/206,886.40
  6. Step 6: Final answer
    x = 123,536.31

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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.