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Finding the Fourth Proportional to 110,915.70, 166,378.95 and 54,041.82

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Solution

The fourth proportional to 110,915.70, 166,378.95 and 54,041.82 is: 81,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,915.70 : 166,378.95 = 54,041.82 : x
  2. Step 2: Convert to fraction form
    110,915.70/166,378.95 = 54,041.82/x
  3. Step 3: Cross multiply
    110,915.70x = 166,378.95 × 54,041.82
  4. Step 4: Simplify right side
    110,915.70x = 8,991,421,267.69
  5. Step 5: Solve for x
    x = 8,991,421,267.69/110,915.70
  6. Step 6: Final answer
    x = 81,065.36

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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.