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Finding the Fourth Proportional to 215,009.63, 322,501.68 and 65,251.16

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Solution

The fourth proportional to 215,009.63, 322,501.68 and 65,251.16 is: 97,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,009.63 : 322,501.68 = 65,251.16 : x
  2. Step 2: Convert to fraction form
    215,009.63/322,501.68 = 65,251.16/x
  3. Step 3: Cross multiply
    215,009.63x = 322,501.68 × 65,251.16
  4. Step 4: Simplify right side
    215,009.63x = 21,043,607,109.44
  5. Step 5: Solve for x
    x = 21,043,607,109.44/215,009.63
  6. Step 6: Final answer
    x = 97,872.86

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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.