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Finding the Fourth Proportional to 229,539.40, 344,295.74 and 103,147

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Solution

The fourth proportional to 229,539.40, 344,295.74 and 103,147 is: 154,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,539.40 : 344,295.74 = 103,147 : x
  2. Step 2: Convert to fraction form
    229,539.40/344,295.74 = 103,147/x
  3. Step 3: Cross multiply
    229,539.40x = 344,295.74 × 103,147
  4. Step 4: Simplify right side
    229,539.40x = 35,513,072,693.78
  5. Step 5: Solve for x
    x = 35,513,072,693.78/229,539.40
  6. Step 6: Final answer
    x = 154,714.50

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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.