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Finding the Fourth Proportional to 81,018.20, 111,802.20 and 50,819.78

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Solution

The fourth proportional to 81,018.20, 111,802.20 and 50,819.78 is: 70,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,018.20 : 111,802.20 = 50,819.78 : x
  2. Step 2: Convert to fraction form
    81,018.20/111,802.20 = 50,819.78/x
  3. Step 3: Cross multiply
    81,018.20x = 111,802.20 × 50,819.78
  4. Step 4: Simplify right side
    81,018.20x = 5,681,763,207.52
  5. Step 5: Solve for x
    x = 5,681,763,207.52/81,018.20
  6. Step 6: Final answer
    x = 70,129.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.