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Finding the Fourth Proportional to 139,411.54, 192,385.16 and 75,749.80

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Solution

The fourth proportional to 139,411.54, 192,385.16 and 75,749.80 is: 104,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,411.54 : 192,385.16 = 75,749.80 : x
  2. Step 2: Convert to fraction form
    139,411.54/192,385.16 = 75,749.80/x
  3. Step 3: Cross multiply
    139,411.54x = 192,385.16 × 75,749.80
  4. Step 4: Simplify right side
    139,411.54x = 14,573,137,392.97
  5. Step 5: Solve for x
    x = 14,573,137,392.97/139,411.54
  6. Step 6: Final answer
    x = 104,533.22

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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.