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Finding the Fourth Proportional to 100,861.88, 151,386.30 and 50,977.08

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Solution

The fourth proportional to 100,861.88, 151,386.30 and 50,977.08 is: 76,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,861.88 : 151,386.30 = 50,977.08 : x
  2. Step 2: Convert to fraction form
    100,861.88/151,386.30 = 50,977.08/x
  3. Step 3: Cross multiply
    100,861.88x = 151,386.30 × 50,977.08
  4. Step 4: Simplify right side
    100,861.88x = 7,717,231,526.00
  5. Step 5: Solve for x
    x = 7,717,231,526.00/100,861.88
  6. Step 6: Final answer
    x = 76,512.87

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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.