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Finding the Fourth Proportional to 109,494.60, 164,120.40 and 42,912.60

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Solution

The fourth proportional to 109,494.60, 164,120.40 and 42,912.60 is: 64,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,494.60 : 164,120.40 = 42,912.60 : x
  2. Step 2: Convert to fraction form
    109,494.60/164,120.40 = 42,912.60/x
  3. Step 3: Cross multiply
    109,494.60x = 164,120.40 × 42,912.60
  4. Step 4: Simplify right side
    109,494.60x = 7,042,833,077.04
  5. Step 5: Solve for x
    x = 7,042,833,077.04/109,494.60
  6. Step 6: Final answer
    x = 64,321.28

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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.