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Finding the Fourth Proportional to 214,804.71, 322,298.19 and 114,939

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Solution

The fourth proportional to 214,804.71, 322,298.19 and 114,939 is: 172,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,804.71 : 322,298.19 = 114,939 : x
  2. Step 2: Convert to fraction form
    214,804.71/322,298.19 = 114,939/x
  3. Step 3: Cross multiply
    214,804.71x = 322,298.19 × 114,939
  4. Step 4: Simplify right side
    214,804.71x = 37,044,631,660.41
  5. Step 5: Solve for x
    x = 37,044,631,660.41/214,804.71
  6. Step 6: Final answer
    x = 172,457.26

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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.