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Finding the Fourth Proportional to 215,153.84, 322,741.29 and 82,009.28

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Solution

The fourth proportional to 215,153.84, 322,741.29 and 82,009.28 is: 123,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,153.84 : 322,741.29 = 82,009.28 : x
  2. Step 2: Convert to fraction form
    215,153.84/322,741.29 = 82,009.28/x
  3. Step 3: Cross multiply
    215,153.84x = 322,741.29 × 82,009.28
  4. Step 4: Simplify right side
    215,153.84x = 26,467,779,205.46
  5. Step 5: Solve for x
    x = 26,467,779,205.46/215,153.84
  6. Step 6: Final answer
    x = 123,017.93

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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.