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Finding the Fourth Proportional to 121,638.32, 182,474.89 and 37,405.54

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Solution

The fourth proportional to 121,638.32, 182,474.89 and 37,405.54 is: 56,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,638.32 : 182,474.89 = 37,405.54 : x
  2. Step 2: Convert to fraction form
    121,638.32/182,474.89 = 37,405.54/x
  3. Step 3: Cross multiply
    121,638.32x = 182,474.89 × 37,405.54
  4. Step 4: Simplify right side
    121,638.32x = 6,825,571,247.19
  5. Step 5: Solve for x
    x = 6,825,571,247.19/121,638.32
  6. Step 6: Final answer
    x = 56,113.66

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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.