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Finding the Fourth Proportional to 179,408, 247,583.04 and 99,920

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Solution

The fourth proportional to 179,408, 247,583.04 and 99,920 is: 137,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,408 : 247,583.04 = 99,920 : x
  2. Step 2: Convert to fraction form
    179,408/247,583.04 = 99,920/x
  3. Step 3: Cross multiply
    179,408x = 247,583.04 × 99,920
  4. Step 4: Simplify right side
    179,408x = 24,738,497,356.80
  5. Step 5: Solve for x
    x = 24,738,497,356.80/179,408
  6. Step 6: Final answer
    x = 137,889.60

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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.