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Finding the Fourth Proportional to 137,889.69, 206,809.90 and 36,688.32

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Solution

The fourth proportional to 137,889.69, 206,809.90 and 36,688.32 is: 55,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,889.69 : 206,809.90 = 36,688.32 : x
  2. Step 2: Convert to fraction form
    137,889.69/206,809.90 = 36,688.32/x
  3. Step 3: Cross multiply
    137,889.69x = 206,809.90 × 36,688.32
  4. Step 4: Simplify right side
    137,889.69x = 7,587,507,790.37
  5. Step 5: Solve for x
    x = 7,587,507,790.37/137,889.69
  6. Step 6: Final answer
    x = 55,025.93

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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.