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Finding the Fourth Proportional to 107,198.21, 147,909.86 and 61,866.56

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Solution

The fourth proportional to 107,198.21, 147,909.86 and 61,866.56 is: 85,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,198.21 : 147,909.86 = 61,866.56 : x
  2. Step 2: Convert to fraction form
    107,198.21/147,909.86 = 61,866.56/x
  3. Step 3: Cross multiply
    107,198.21x = 147,909.86 × 61,866.56
  4. Step 4: Simplify right side
    107,198.21x = 9,150,673,643.40
  5. Step 5: Solve for x
    x = 9,150,673,643.40/107,198.21
  6. Step 6: Final answer
    x = 85,362.19

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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.