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Finding the Fourth Proportional to 109,447.60, 164,049.90 and 42,865.60

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Solution

The fourth proportional to 109,447.60, 164,049.90 and 42,865.60 is: 64,250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,447.60 : 164,049.90 = 42,865.60 : x
  2. Step 2: Convert to fraction form
    109,447.60/164,049.90 = 42,865.60/x
  3. Step 3: Cross multiply
    109,447.60x = 164,049.90 × 42,865.60
  4. Step 4: Simplify right side
    109,447.60x = 7,032,097,393.44
  5. Step 5: Solve for x
    x = 7,032,097,393.44/109,447.60
  6. Step 6: Final answer
    x = 64,250.81

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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.