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Finding the Fourth Proportional to 207,686.10, 311,512.95 and 81,301.80

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Solution

The fourth proportional to 207,686.10, 311,512.95 and 81,301.80 is: 121,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,686.10 : 311,512.95 = 81,301.80 : x
  2. Step 2: Convert to fraction form
    207,686.10/311,512.95 = 81,301.80/x
  3. Step 3: Cross multiply
    207,686.10x = 311,512.95 × 81,301.80
  4. Step 4: Simplify right side
    207,686.10x = 25,326,563,558.31
  5. Step 5: Solve for x
    x = 25,326,563,558.31/207,686.10
  6. Step 6: Final answer
    x = 121,946.36

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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.