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Finding the Fourth Proportional to 157,508.98, 217,265.75 and 100,821.94

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Solution

The fourth proportional to 157,508.98, 217,265.75 and 100,821.94 is: 139,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,508.98 : 217,265.75 = 100,821.94 : x
  2. Step 2: Convert to fraction form
    157,508.98/217,265.75 = 100,821.94/x
  3. Step 3: Cross multiply
    157,508.98x = 217,265.75 × 100,821.94
  4. Step 4: Simplify right side
    157,508.98x = 21,905,153,324.23
  5. Step 5: Solve for x
    x = 21,905,153,324.23/157,508.98
  6. Step 6: Final answer
    x = 139,072.41

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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.