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Finding the Fourth Proportional to 109,638.61, 164,523.53 and 47,309.11

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Solution

The fourth proportional to 109,638.61, 164,523.53 and 47,309.11 is: 70,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,638.61 : 164,523.53 = 47,309.11 : x
  2. Step 2: Convert to fraction form
    109,638.61/164,523.53 = 47,309.11/x
  3. Step 3: Cross multiply
    109,638.61x = 164,523.53 × 47,309.11
  4. Step 4: Simplify right side
    109,638.61x = 7,783,461,778.36
  5. Step 5: Solve for x
    x = 7,783,461,778.36/109,638.61
  6. Step 6: Final answer
    x = 70,991.98

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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.