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Finding the Fourth Proportional to 157,293.28, 217,112.16 and 107,021.44

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Solution

The fourth proportional to 157,293.28, 217,112.16 and 107,021.44 is: 147,721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,293.28 : 217,112.16 = 107,021.44 : x
  2. Step 2: Convert to fraction form
    157,293.28/217,112.16 = 107,021.44/x
  3. Step 3: Cross multiply
    157,293.28x = 217,112.16 × 107,021.44
  4. Step 4: Simplify right side
    157,293.28x = 23,235,656,004.71
  5. Step 5: Solve for x
    x = 23,235,656,004.71/157,293.28
  6. Step 6: Final answer
    x = 147,721.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.