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Finding the Fourth Proportional to 137,738, 206,587.60 and 44,231.60

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Solution

The fourth proportional to 137,738, 206,587.60 and 44,231.60 is: 66,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,738 : 206,587.60 = 44,231.60 : x
  2. Step 2: Convert to fraction form
    137,738/206,587.60 = 44,231.60/x
  3. Step 3: Cross multiply
    137,738x = 206,587.60 × 44,231.60
  4. Step 4: Simplify right side
    137,738x = 9,137,700,088.16
  5. Step 5: Solve for x
    x = 9,137,700,088.16/137,738
  6. Step 6: Final answer
    x = 66,341.17

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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.