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Finding the Fourth Proportional to 118,750, 163,876.08 and 81,023.44

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Solution

The fourth proportional to 118,750, 163,876.08 and 81,023.44 is: 111,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,750 : 163,876.08 = 81,023.44 : x
  2. Step 2: Convert to fraction form
    118,750/163,876.08 = 81,023.44/x
  3. Step 3: Cross multiply
    118,750x = 163,876.08 × 81,023.44
  4. Step 4: Simplify right side
    118,750x = 13,277,803,735.32
  5. Step 5: Solve for x
    x = 13,277,803,735.32/118,750
  6. Step 6: Final answer
    x = 111,813.08

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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.