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Finding the Fourth Proportional to 208,042.40, 312,063.60 and 83,472.80

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Solution

The fourth proportional to 208,042.40, 312,063.60 and 83,472.80 is: 125,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,042.40 : 312,063.60 = 83,472.80 : x
  2. Step 2: Convert to fraction form
    208,042.40/312,063.60 = 83,472.80/x
  3. Step 3: Cross multiply
    208,042.40x = 312,063.60 × 83,472.80
  4. Step 4: Simplify right side
    208,042.40x = 26,048,822,470.08
  5. Step 5: Solve for x
    x = 26,048,822,470.08/208,042.40
  6. Step 6: Final answer
    x = 125,209.20

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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.