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Finding the Fourth Proportional to 214,885.66, 322,468.35 and 81,767.02

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Solution

The fourth proportional to 214,885.66, 322,468.35 and 81,767.02 is: 122,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,885.66 : 322,468.35 = 81,767.02 : x
  2. Step 2: Convert to fraction form
    214,885.66/322,468.35 = 81,767.02/x
  3. Step 3: Cross multiply
    214,885.66x = 322,468.35 × 81,767.02
  4. Step 4: Simplify right side
    214,885.66x = 26,367,276,023.82
  5. Step 5: Solve for x
    x = 26,367,276,023.82/214,885.66
  6. Step 6: Final answer
    x = 122,703.75

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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.