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Finding the Fourth Proportional to 139,714.42, 192,798.08 and 76,048.42

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Solution

The fourth proportional to 139,714.42, 192,798.08 and 76,048.42 is: 104,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,714.42 : 192,798.08 = 76,048.42 : x
  2. Step 2: Convert to fraction form
    139,714.42/192,798.08 = 76,048.42/x
  3. Step 3: Cross multiply
    139,714.42x = 192,798.08 × 76,048.42
  4. Step 4: Simplify right side
    139,714.42x = 14,661,989,363.03
  5. Step 5: Solve for x
    x = 14,661,989,363.03/139,714.42
  6. Step 6: Final answer
    x = 104,942.56

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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.