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Finding the Fourth Proportional to 157,969.71, 237,020.49 and 69,286.86

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Solution

The fourth proportional to 157,969.71, 237,020.49 and 69,286.86 is: 103,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,969.71 : 237,020.49 = 69,286.86 : x
  2. Step 2: Convert to fraction form
    157,969.71/237,020.49 = 69,286.86/x
  3. Step 3: Cross multiply
    157,969.71x = 237,020.49 × 69,286.86
  4. Step 4: Simplify right side
    157,969.71x = 16,422,405,507.76
  5. Step 5: Solve for x
    x = 16,422,405,507.76/157,969.71
  6. Step 6: Final answer
    x = 103,959.21

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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.