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Finding the Fourth Proportional to 139,874.64, 209,810.34 and 83,730.44

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Solution

The fourth proportional to 139,874.64, 209,810.34 and 83,730.44 is: 125,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,874.64 : 209,810.34 = 83,730.44 : x
  2. Step 2: Convert to fraction form
    139,874.64/209,810.34 = 83,730.44/x
  3. Step 3: Cross multiply
    139,874.64x = 209,810.34 × 83,730.44
  4. Step 4: Simplify right side
    139,874.64x = 17,567,512,084.75
  5. Step 5: Solve for x
    x = 17,567,512,084.75/139,874.64
  6. Step 6: Final answer
    x = 125,594.69

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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.