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Finding the Fourth Proportional to 214,980.30, 322,471.23 and 65,221.86

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Solution

The fourth proportional to 214,980.30, 322,471.23 and 65,221.86 is: 97,833.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,980.30 : 322,471.23 = 65,221.86 : x
  2. Step 2: Convert to fraction form
    214,980.30/322,471.23 = 65,221.86/x
  3. Step 3: Cross multiply
    214,980.30x = 322,471.23 × 65,221.86
  4. Step 4: Simplify right side
    214,980.30x = 21,032,173,417.09
  5. Step 5: Solve for x
    x = 21,032,173,417.09/214,980.30
  6. Step 6: Final answer
    x = 97,833.03

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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.