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Finding the Fourth Proportional to 137,798.42, 206,336.76 and 90,263.97

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Solution

The fourth proportional to 137,798.42, 206,336.76 and 90,263.97 is: 135,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,798.42 : 206,336.76 = 90,263.97 : x
  2. Step 2: Convert to fraction form
    137,798.42/206,336.76 = 90,263.97/x
  3. Step 3: Cross multiply
    137,798.42x = 206,336.76 × 90,263.97
  4. Step 4: Simplify right side
    137,798.42x = 18,624,775,114.54
  5. Step 5: Solve for x
    x = 18,624,775,114.54/137,798.42
  6. Step 6: Final answer
    x = 135,159.57

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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.