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Finding the Fourth Proportional to 109,308.40, 164,039.40 and 47,023.60

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Solution

The fourth proportional to 109,308.40, 164,039.40 and 47,023.60 is: 70,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,308.40 : 164,039.40 = 47,023.60 : x
  2. Step 2: Convert to fraction form
    109,308.40/164,039.40 = 47,023.60/x
  3. Step 3: Cross multiply
    109,308.40x = 164,039.40 × 47,023.60
  4. Step 4: Simplify right side
    109,308.40x = 7,713,723,129.84
  5. Step 5: Solve for x
    x = 7,713,723,129.84/109,308.40
  6. Step 6: Final answer
    x = 70,568.44

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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.