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Finding the Fourth Proportional to 208,445.13, 312,743.03 and 82,015.74

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Solution

The fourth proportional to 208,445.13, 312,743.03 and 82,015.74 is: 123,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,445.13 : 312,743.03 = 82,015.74 : x
  2. Step 2: Convert to fraction form
    208,445.13/312,743.03 = 82,015.74/x
  3. Step 3: Cross multiply
    208,445.13x = 312,743.03 × 82,015.74
  4. Step 4: Simplify right side
    208,445.13x = 25,649,850,625.21
  5. Step 5: Solve for x
    x = 25,649,850,625.21/208,445.13
  6. Step 6: Final answer
    x = 123,053.25

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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.