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Finding the Fourth Proportional to 100,734.30, 151,181.64 and 56,352.78

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Solution

The fourth proportional to 100,734.30, 151,181.64 and 56,352.78 is: 84,574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,734.30 : 151,181.64 = 56,352.78 : x
  2. Step 2: Convert to fraction form
    100,734.30/151,181.64 = 56,352.78/x
  3. Step 3: Cross multiply
    100,734.30x = 151,181.64 × 56,352.78
  4. Step 4: Simplify right side
    100,734.30x = 8,519,505,698.96
  5. Step 5: Solve for x
    x = 8,519,505,698.96/100,734.30
  6. Step 6: Final answer
    x = 84,574.03

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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.