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Finding the Fourth Proportional to 109,408.60, 164,064.30 and 42,826.60

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Solution

The fourth proportional to 109,408.60, 164,064.30 and 42,826.60 is: 64,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,408.60 : 164,064.30 = 42,826.60 : x
  2. Step 2: Convert to fraction form
    109,408.60/164,064.30 = 42,826.60/x
  3. Step 3: Cross multiply
    109,408.60x = 164,064.30 × 42,826.60
  4. Step 4: Simplify right side
    109,408.60x = 7,026,316,150.38
  5. Step 5: Solve for x
    x = 7,026,316,150.38/109,408.60
  6. Step 6: Final answer
    x = 64,220.88

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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.