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Finding the Fourth Proportional to 215,027.30, 322,577.40 and 65,266.40

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Solution

The fourth proportional to 215,027.30, 322,577.40 and 65,266.40 is: 97,910.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,027.30 : 322,577.40 = 65,266.40 : x
  2. Step 2: Convert to fraction form
    215,027.30/322,577.40 = 65,266.40/x
  3. Step 3: Cross multiply
    215,027.30x = 322,577.40 × 65,266.40
  4. Step 4: Simplify right side
    215,027.30x = 21,053,465,619.36
  5. Step 5: Solve for x
    x = 21,053,465,619.36/215,027.30
  6. Step 6: Final answer
    x = 97,910.66

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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.