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Finding the Fourth Proportional to 229,101.40, 343,652.10 and 122,813.20

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Solution

The fourth proportional to 229,101.40, 343,652.10 and 122,813.20 is: 184,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,101.40 : 343,652.10 = 122,813.20 : x
  2. Step 2: Convert to fraction form
    229,101.40/343,652.10 = 122,813.20/x
  3. Step 3: Cross multiply
    229,101.40x = 343,652.10 × 122,813.20
  4. Step 4: Simplify right side
    229,101.40x = 42,205,014,087.72
  5. Step 5: Solve for x
    x = 42,205,014,087.72/229,101.40
  6. Step 6: Final answer
    x = 184,219.80

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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.