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Finding the Fourth Proportional to 139,722.48, 192,809.16 and 76,056.48

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Solution

The fourth proportional to 139,722.48, 192,809.16 and 76,056.48 is: 104,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,722.48 : 192,809.16 = 76,056.48 : x
  2. Step 2: Convert to fraction form
    139,722.48/192,809.16 = 76,056.48/x
  3. Step 3: Cross multiply
    139,722.48x = 192,809.16 × 76,056.48
  4. Step 4: Simplify right side
    139,722.48x = 14,664,386,021.36
  5. Step 5: Solve for x
    x = 14,664,386,021.36/139,722.48
  6. Step 6: Final answer
    x = 104,953.66

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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.