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Finding the Fourth Proportional to 137,119.44, 205,675.32 and 43,630.80

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Solution

The fourth proportional to 137,119.44, 205,675.32 and 43,630.80 is: 65,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,119.44 : 205,675.32 = 43,630.80 : x
  2. Step 2: Convert to fraction form
    137,119.44/205,675.32 = 43,630.80/x
  3. Step 3: Cross multiply
    137,119.44x = 205,675.32 × 43,630.80
  4. Step 4: Simplify right side
    137,119.44x = 8,973,778,751.86
  5. Step 5: Solve for x
    x = 8,973,778,751.86/137,119.44
  6. Step 6: Final answer
    x = 65,444.98

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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.