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Finding the Fourth Proportional to 216,642.66, 298,961.27 and 119,844

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Solution

The fourth proportional to 216,642.66, 298,961.27 and 119,844 is: 165,381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,642.66 : 298,961.27 = 119,844 : x
  2. Step 2: Convert to fraction form
    216,642.66/298,961.27 = 119,844/x
  3. Step 3: Cross multiply
    216,642.66x = 298,961.27 × 119,844
  4. Step 4: Simplify right side
    216,642.66x = 35,828,713,842.66
  5. Step 5: Solve for x
    x = 35,828,713,842.66/216,642.66
  6. Step 6: Final answer
    x = 165,381.62

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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.