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Finding the Fourth Proportional to 214,775.76, 322,163.88 and 81,624.72

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Solution

The fourth proportional to 214,775.76, 322,163.88 and 81,624.72 is: 122,437.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,775.76 : 322,163.88 = 81,624.72 : x
  2. Step 2: Convert to fraction form
    214,775.76/322,163.88 = 81,624.72/x
  3. Step 3: Cross multiply
    214,775.76x = 322,163.88 × 81,624.72
  4. Step 4: Simplify right side
    214,775.76x = 26,296,536,499.11
  5. Step 5: Solve for x
    x = 26,296,536,499.11/214,775.76
  6. Step 6: Final answer
    x = 122,437.17

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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.