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Finding the Fourth Proportional to 229,071.40, 343,866.30 and 135,629.80

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Solution

The fourth proportional to 229,071.40, 343,866.30 and 135,629.80 is: 203,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,071.40 : 343,866.30 = 135,629.80 : x
  2. Step 2: Convert to fraction form
    229,071.40/343,866.30 = 135,629.80/x
  3. Step 3: Cross multiply
    229,071.40x = 343,866.30 × 135,629.80
  4. Step 4: Simplify right side
    229,071.40x = 46,638,517,495.74
  5. Step 5: Solve for x
    x = 46,638,517,495.74/229,071.40
  6. Step 6: Final answer
    x = 203,598.17

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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.