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Finding the Fourth Proportional to 220,023.20, 303,632 and 119,421.20

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Solution

The fourth proportional to 220,023.20, 303,632 and 119,421.20 is: 164,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,023.20 : 303,632 = 119,421.20 : x
  2. Step 2: Convert to fraction form
    220,023.20/303,632 = 119,421.20/x
  3. Step 3: Cross multiply
    220,023.20x = 303,632 × 119,421.20
  4. Step 4: Simplify right side
    220,023.20x = 36,260,097,798.40
  5. Step 5: Solve for x
    x = 36,260,097,798.40/220,023.20
  6. Step 6: Final answer
    x = 164,801.25

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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.