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Finding the Fourth Proportional to 229,857.30, 344,980.35 and 103,691.70

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Solution

The fourth proportional to 229,857.30, 344,980.35 and 103,691.70 is: 155,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,857.30 : 344,980.35 = 103,691.70 : x
  2. Step 2: Convert to fraction form
    229,857.30/344,980.35 = 103,691.70/x
  3. Step 3: Cross multiply
    229,857.30x = 344,980.35 × 103,691.70
  4. Step 4: Simplify right side
    229,857.30x = 35,771,598,958.10
  5. Step 5: Solve for x
    x = 35,771,598,958.10/229,857.30
  6. Step 6: Final answer
    x = 155,625.25

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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.