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Finding the Fourth Proportional to 208,703.31, 312,778.17 and 108,947.41

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Solution

The fourth proportional to 208,703.31, 312,778.17 and 108,947.41 is: 163,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,703.31 : 312,778.17 = 108,947.41 : x
  2. Step 2: Convert to fraction form
    208,703.31/312,778.17 = 108,947.41/x
  3. Step 3: Cross multiply
    208,703.31x = 312,778.17 × 108,947.41
  4. Step 4: Simplify right side
    208,703.31x = 34,076,371,526.04
  5. Step 5: Solve for x
    x = 34,076,371,526.04/208,703.31
  6. Step 6: Final answer
    x = 163,276.62

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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.