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Finding the Fourth Proportional to 212,625, 293,422.50 and 117,131.67

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Solution

The fourth proportional to 212,625, 293,422.50 and 117,131.67 is: 161,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,625 : 293,422.50 = 117,131.67 : x
  2. Step 2: Convert to fraction form
    212,625/293,422.50 = 117,131.67/x
  3. Step 3: Cross multiply
    212,625x = 293,422.50 × 117,131.67
  4. Step 4: Simplify right side
    212,625x = 34,369,067,440.58
  5. Step 5: Solve for x
    x = 34,369,067,440.58/212,625
  6. Step 6: Final answer
    x = 161,641.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.