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Finding the Fourth Proportional to 215,508.61, 322,927.64 and 82,316.17

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Solution

The fourth proportional to 215,508.61, 322,927.64 and 82,316.17 is: 123,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,508.61 : 322,927.64 = 82,316.17 : x
  2. Step 2: Convert to fraction form
    215,508.61/322,927.64 = 82,316.17/x
  3. Step 3: Cross multiply
    215,508.61x = 322,927.64 × 82,316.17
  4. Step 4: Simplify right side
    215,508.61x = 26,582,164,485.72
  5. Step 5: Solve for x
    x = 26,582,164,485.72/215,508.61
  6. Step 6: Final answer
    x = 123,346.19

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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.