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Finding the Fourth Proportional to 208,026.20, 312,039.30 and 83,456.60

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Solution

The fourth proportional to 208,026.20, 312,039.30 and 83,456.60 is: 125,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,026.20 : 312,039.30 = 83,456.60 : x
  2. Step 2: Convert to fraction form
    208,026.20/312,039.30 = 83,456.60/x
  3. Step 3: Cross multiply
    208,026.20x = 312,039.30 × 83,456.60
  4. Step 4: Simplify right side
    208,026.20x = 26,041,739,044.38
  5. Step 5: Solve for x
    x = 26,041,739,044.38/208,026.20
  6. Step 6: Final answer
    x = 125,184.90

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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.