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Finding the Fourth Proportional to 208,352.92, 312,543.12 and 81,983.20

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Solution

The fourth proportional to 208,352.92, 312,543.12 and 81,983.20 is: 122,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,352.92 : 312,543.12 = 81,983.20 : x
  2. Step 2: Convert to fraction form
    208,352.92/312,543.12 = 81,983.20/x
  3. Step 3: Cross multiply
    208,352.92x = 312,543.12 × 81,983.20
  4. Step 4: Simplify right side
    208,352.92x = 25,623,285,115.58
  5. Step 5: Solve for x
    x = 25,623,285,115.58/208,352.92
  6. Step 6: Final answer
    x = 122,980.21

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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.