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Finding the Fourth Proportional to 101,290.86, 151,741.08 and 56,782.44

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Solution

The fourth proportional to 101,290.86, 151,741.08 and 56,782.44 is: 85,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,290.86 : 151,741.08 = 56,782.44 : x
  2. Step 2: Convert to fraction form
    101,290.86/151,741.08 = 56,782.44/x
  3. Step 3: Cross multiply
    101,290.86x = 151,741.08 × 56,782.44
  4. Step 4: Simplify right side
    101,290.86x = 8,616,228,770.64
  5. Step 5: Solve for x
    x = 8,616,228,770.64/101,290.86
  6. Step 6: Final answer
    x = 85,064.23

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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.