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Finding the Fourth Proportional to 100,943.65, 151,221.42 and 56,435.42

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Solution

The fourth proportional to 100,943.65, 151,221.42 and 56,435.42 is: 84,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,943.65 : 151,221.42 = 56,435.42 : x
  2. Step 2: Convert to fraction form
    100,943.65/151,221.42 = 56,435.42/x
  3. Step 3: Cross multiply
    100,943.65x = 151,221.42 × 56,435.42
  4. Step 4: Simplify right side
    100,943.65x = 8,534,244,350.70
  5. Step 5: Solve for x
    x = 8,534,244,350.70/100,943.65
  6. Step 6: Final answer
    x = 84,544.64

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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.