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Finding the Fourth Proportional to 111,704.46, 154,188.10 and 71,526.48

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Solution

The fourth proportional to 111,704.46, 154,188.10 and 71,526.48 is: 98,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,704.46 : 154,188.10 = 71,526.48 : x
  2. Step 2: Convert to fraction form
    111,704.46/154,188.10 = 71,526.48/x
  3. Step 3: Cross multiply
    111,704.46x = 154,188.10 × 71,526.48
  4. Step 4: Simplify right side
    111,704.46x = 11,028,532,050.89
  5. Step 5: Solve for x
    x = 11,028,532,050.89/111,704.46
  6. Step 6: Final answer
    x = 98,729.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.