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Finding the Fourth Proportional to 126,007.68, 188,881.92 and 55,920

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Solution

The fourth proportional to 126,007.68, 188,881.92 and 55,920 is: 83,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,007.68 : 188,881.92 = 55,920 : x
  2. Step 2: Convert to fraction form
    126,007.68/188,881.92 = 55,920/x
  3. Step 3: Cross multiply
    126,007.68x = 188,881.92 × 55,920
  4. Step 4: Simplify right side
    126,007.68x = 10,562,276,966.40
  5. Step 5: Solve for x
    x = 10,562,276,966.40/126,007.68
  6. Step 6: Final answer
    x = 83,822.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.