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Finding the Fourth Proportional to 139,819.16, 192,963.86 and 86,135.60

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Solution

The fourth proportional to 139,819.16, 192,963.86 and 86,135.60 is: 118,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,819.16 : 192,963.86 = 86,135.60 : x
  2. Step 2: Convert to fraction form
    139,819.16/192,963.86 = 86,135.60/x
  3. Step 3: Cross multiply
    139,819.16x = 192,963.86 × 86,135.60
  4. Step 4: Simplify right side
    139,819.16x = 16,621,056,463.92
  5. Step 5: Solve for x
    x = 16,621,056,463.92/139,819.16
  6. Step 6: Final answer
    x = 118,875.39

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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.