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Finding the Fourth Proportional to 139,411.16, 192,388.20 and 75,749.48

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Solution

The fourth proportional to 139,411.16, 192,388.20 and 75,749.48 is: 104,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,411.16 : 192,388.20 = 75,749.48 : x
  2. Step 2: Convert to fraction form
    139,411.16/192,388.20 = 75,749.48/x
  3. Step 3: Cross multiply
    139,411.16x = 192,388.20 × 75,749.48
  4. Step 4: Simplify right side
    139,411.16x = 14,573,306,108.14
  5. Step 5: Solve for x
    x = 14,573,306,108.14/139,411.16
  6. Step 6: Final answer
    x = 104,534.72

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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.