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Finding the Fourth Proportional to 109,651.86, 164,345.25 and 53,407.69

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Solution

The fourth proportional to 109,651.86, 164,345.25 and 53,407.69 is: 80,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,651.86 : 164,345.25 = 53,407.69 : x
  2. Step 2: Convert to fraction form
    109,651.86/164,345.25 = 53,407.69/x
  3. Step 3: Cross multiply
    109,651.86x = 164,345.25 × 53,407.69
  4. Step 4: Simplify right side
    109,651.86x = 8,777,299,954.39
  5. Step 5: Solve for x
    x = 8,777,299,954.39/109,651.86
  6. Step 6: Final answer
    x = 80,046.98

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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.