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Finding the Fourth Proportional to 227,033.12, 312,978.38 and 158,838.82

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Solution

The fourth proportional to 227,033.12, 312,978.38 and 158,838.82 is: 218,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,033.12 : 312,978.38 = 158,838.82 : x
  2. Step 2: Convert to fraction form
    227,033.12/312,978.38 = 158,838.82/x
  3. Step 3: Cross multiply
    227,033.12x = 312,978.38 × 158,838.82
  4. Step 4: Simplify right side
    227,033.12x = 49,713,116,564.71
  5. Step 5: Solve for x
    x = 49,713,116,564.71/227,033.12
  6. Step 6: Final answer
    x = 218,968.57

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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.