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Finding the Fourth Proportional to 109,809, 164,615.76 and 39,672.72

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Solution

The fourth proportional to 109,809, 164,615.76 and 39,672.72 is: 59,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,809 : 164,615.76 = 39,672.72 : x
  2. Step 2: Convert to fraction form
    109,809/164,615.76 = 39,672.72/x
  3. Step 3: Cross multiply
    109,809x = 164,615.76 × 39,672.72
  4. Step 4: Simplify right side
    109,809x = 6,530,754,954.07
  5. Step 5: Solve for x
    x = 6,530,754,954.07/109,809
  6. Step 6: Final answer
    x = 59,473.77

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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.