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Finding the Fourth Proportional to 118,046.30, 177,069.45 and 78,475.10

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Solution

The fourth proportional to 118,046.30, 177,069.45 and 78,475.10 is: 117,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,046.30 : 177,069.45 = 78,475.10 : x
  2. Step 2: Convert to fraction form
    118,046.30/177,069.45 = 78,475.10/x
  3. Step 3: Cross multiply
    118,046.30x = 177,069.45 × 78,475.10
  4. Step 4: Simplify right side
    118,046.30x = 13,895,542,795.70
  5. Step 5: Solve for x
    x = 13,895,542,795.70/118,046.30
  6. Step 6: Final answer
    x = 117,712.65

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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.