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Finding the Fourth Proportional to 208,283.46, 287,430.76 and 112,789.86

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Solution

The fourth proportional to 208,283.46, 287,430.76 and 112,789.86 is: 155,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,283.46 : 287,430.76 = 112,789.86 : x
  2. Step 2: Convert to fraction form
    208,283.46/287,430.76 = 112,789.86/x
  3. Step 3: Cross multiply
    208,283.46x = 287,430.76 × 112,789.86
  4. Step 4: Simplify right side
    208,283.46x = 32,419,275,180.09
  5. Step 5: Solve for x
    x = 32,419,275,180.09/208,283.46
  6. Step 6: Final answer
    x = 155,649.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.