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Finding the Fourth Proportional to 229,081.40, 343,881.30 and 135,639.80

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Solution

The fourth proportional to 229,081.40, 343,881.30 and 135,639.80 is: 203,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,081.40 : 343,881.30 = 135,639.80 : x
  2. Step 2: Convert to fraction form
    229,081.40/343,881.30 = 135,639.80/x
  3. Step 3: Cross multiply
    229,081.40x = 343,881.30 × 135,639.80
  4. Step 4: Simplify right side
    229,081.40x = 46,643,990,755.74
  5. Step 5: Solve for x
    x = 46,643,990,755.74/229,081.40
  6. Step 6: Final answer
    x = 203,613.17

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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.