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Finding the Fourth Proportional to 118,420.75, 177,675.24 and 71,069.81

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Solution

The fourth proportional to 118,420.75, 177,675.24 and 71,069.81 is: 106,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,420.75 : 177,675.24 = 71,069.81 : x
  2. Step 2: Convert to fraction form
    118,420.75/177,675.24 = 71,069.81/x
  3. Step 3: Cross multiply
    118,420.75x = 177,675.24 × 71,069.81
  4. Step 4: Simplify right side
    118,420.75x = 12,627,345,801.14
  5. Step 5: Solve for x
    x = 12,627,345,801.14/118,420.75
  6. Step 6: Final answer
    x = 106,631.19

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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.