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Finding the Fourth Proportional to 212,788.88, 293,635.32 and 117,296.40

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Solution

The fourth proportional to 212,788.88, 293,635.32 and 117,296.40 is: 161,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,788.88 : 293,635.32 = 117,296.40 : x
  2. Step 2: Convert to fraction form
    212,788.88/293,635.32 = 117,296.40/x
  3. Step 3: Cross multiply
    212,788.88x = 293,635.32 × 117,296.40
  4. Step 4: Simplify right side
    212,788.88x = 34,442,365,948.85
  5. Step 5: Solve for x
    x = 34,442,365,948.85/212,788.88
  6. Step 6: Final answer
    x = 161,861.68

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