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Finding the Fourth Proportional to 118,884.53, 178,346.87 and 39,980

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Solution

The fourth proportional to 118,884.53, 178,346.87 and 39,980 is: 59,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,884.53 : 178,346.87 = 39,980 : x
  2. Step 2: Convert to fraction form
    118,884.53/178,346.87 = 39,980/x
  3. Step 3: Cross multiply
    118,884.53x = 178,346.87 × 39,980
  4. Step 4: Simplify right side
    118,884.53x = 7,130,307,862.60
  5. Step 5: Solve for x
    x = 7,130,307,862.60/118,884.53
  6. Step 6: Final answer
    x = 59,976.75

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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.