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Finding the Fourth Proportional to 208,387.84, 312,640.08 and 83,816.32

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Solution

The fourth proportional to 208,387.84, 312,640.08 and 83,816.32 is: 125,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,387.84 : 312,640.08 = 83,816.32 : x
  2. Step 2: Convert to fraction form
    208,387.84/312,640.08 = 83,816.32/x
  3. Step 3: Cross multiply
    208,387.84x = 312,640.08 × 83,816.32
  4. Step 4: Simplify right side
    208,387.84x = 26,204,340,990.11
  5. Step 5: Solve for x
    x = 26,204,340,990.11/208,387.84
  6. Step 6: Final answer
    x = 125,747.94

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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.