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Finding the Fourth Proportional to 216,514, 298,789.32 and 121,018.65

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Solution

The fourth proportional to 216,514, 298,789.32 and 121,018.65 is: 167,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,514 : 298,789.32 = 121,018.65 : x
  2. Step 2: Convert to fraction form
    216,514/298,789.32 = 121,018.65/x
  3. Step 3: Cross multiply
    216,514x = 298,789.32 × 121,018.65
  4. Step 4: Simplify right side
    216,514x = 36,159,080,140.82
  5. Step 5: Solve for x
    x = 36,159,080,140.82/216,514
  6. Step 6: Final answer
    x = 167,005.74

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