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Finding the Fourth Proportional to 208,221.84, 312,391.80 and 83,650.32

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Solution

The fourth proportional to 208,221.84, 312,391.80 and 83,650.32 is: 125,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,221.84 : 312,391.80 = 83,650.32 : x
  2. Step 2: Convert to fraction form
    208,221.84/312,391.80 = 83,650.32/x
  3. Step 3: Cross multiply
    208,221.84x = 312,391.80 × 83,650.32
  4. Step 4: Simplify right side
    208,221.84x = 26,131,674,035.38
  5. Step 5: Solve for x
    x = 26,131,674,035.38/208,221.84
  6. Step 6: Final answer
    x = 125,499.20

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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.