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Finding the Fourth Proportional to 109,739.90, 164,609.85 and 101,099.90

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Solution

The fourth proportional to 109,739.90, 164,609.85 and 101,099.90 is: 151,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,739.90 : 164,609.85 = 101,099.90 : x
  2. Step 2: Convert to fraction form
    109,739.90/164,609.85 = 101,099.90/x
  3. Step 3: Cross multiply
    109,739.90x = 164,609.85 × 101,099.90
  4. Step 4: Simplify right side
    109,739.90x = 16,642,039,374.02
  5. Step 5: Solve for x
    x = 16,642,039,374.02/109,739.90
  6. Step 6: Final answer
    x = 151,649.85

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1.5x scale

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.