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Finding the Fourth Proportional to 100,866.06, 151,319.14 and 34,288.31

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Solution

The fourth proportional to 100,866.06, 151,319.14 and 34,288.31 is: 51,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,866.06 : 151,319.14 = 34,288.31 : x
  2. Step 2: Convert to fraction form
    100,866.06/151,319.14 = 34,288.31/x
  3. Step 3: Cross multiply
    100,866.06x = 151,319.14 × 34,288.31
  4. Step 4: Simplify right side
    100,866.06x = 5,188,477,873.83
  5. Step 5: Solve for x
    x = 5,188,477,873.83/100,866.06
  6. Step 6: Final answer
    x = 51,439.28

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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.