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Finding the Fourth Proportional to 229,107.40, 343,661.10 and 122,819.20

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Solution

The fourth proportional to 229,107.40, 343,661.10 and 122,819.20 is: 184,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,107.40 : 343,661.10 = 122,819.20 : x
  2. Step 2: Convert to fraction form
    229,107.40/343,661.10 = 122,819.20/x
  3. Step 3: Cross multiply
    229,107.40x = 343,661.10 × 122,819.20
  4. Step 4: Simplify right side
    229,107.40x = 42,208,181,373.12
  5. Step 5: Solve for x
    x = 42,208,181,373.12/229,107.40
  6. Step 6: Final answer
    x = 184,228.80

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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.