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Finding the Fourth Proportional to 212,707.68, 293,538.54 and 117,217.77

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Solution

The fourth proportional to 212,707.68, 293,538.54 and 117,217.77 is: 161,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,707.68 : 293,538.54 = 117,217.77 : x
  2. Step 2: Convert to fraction form
    212,707.68/293,538.54 = 117,217.77/x
  3. Step 3: Cross multiply
    212,707.68x = 293,538.54 × 117,217.77
  4. Step 4: Simplify right side
    212,707.68x = 34,407,933,067.86
  5. Step 5: Solve for x
    x = 34,407,933,067.86/212,707.68
  6. Step 6: Final answer
    x = 161,761.59

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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.