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Finding the Fourth Proportional to 234,562, 323,693.74 and 127,129.28

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Solution

The fourth proportional to 234,562, 323,693.74 and 127,129.28 is: 175,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,562 : 323,693.74 = 127,129.28 : x
  2. Step 2: Convert to fraction form
    234,562/323,693.74 = 127,129.28/x
  3. Step 3: Cross multiply
    234,562x = 323,693.74 × 127,129.28
  4. Step 4: Simplify right side
    234,562x = 41,150,952,106.71
  5. Step 5: Solve for x
    x = 41,150,952,106.71/234,562
  6. Step 6: Final answer
    x = 175,437.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.