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Finding the Fourth Proportional to 109,395.20, 163,977.60 and 42,809.60

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Solution

The fourth proportional to 109,395.20, 163,977.60 and 42,809.60 is: 64,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,395.20 : 163,977.60 = 42,809.60 : x
  2. Step 2: Convert to fraction form
    109,395.20/163,977.60 = 42,809.60/x
  3. Step 3: Cross multiply
    109,395.20x = 163,977.60 × 42,809.60
  4. Step 4: Simplify right side
    109,395.20x = 7,019,815,464.96
  5. Step 5: Solve for x
    x = 7,019,815,464.96/109,395.20
  6. Step 6: Final answer
    x = 64,169.32

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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.