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Finding the Fourth Proportional to 118,107.76, 162,947.82 and 75,689.68

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Solution

The fourth proportional to 118,107.76, 162,947.82 and 75,689.68 is: 104,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,107.76 : 162,947.82 = 75,689.68 : x
  2. Step 2: Convert to fraction form
    118,107.76/162,947.82 = 75,689.68/x
  3. Step 3: Cross multiply
    118,107.76x = 162,947.82 × 75,689.68
  4. Step 4: Simplify right side
    118,107.76x = 12,333,468,352.50
  5. Step 5: Solve for x
    x = 12,333,468,352.50/118,107.76
  6. Step 6: Final answer
    x = 104,425.55

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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.