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Finding the Fourth Proportional to 157,393.09, 217,236 and 103,682.80

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Solution

The fourth proportional to 157,393.09, 217,236 and 103,682.80 is: 143,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,393.09 : 217,236 = 103,682.80 : x
  2. Step 2: Convert to fraction form
    157,393.09/217,236 = 103,682.80/x
  3. Step 3: Cross multiply
    157,393.09x = 217,236 × 103,682.80
  4. Step 4: Simplify right side
    157,393.09x = 22,523,636,740.80
  5. Step 5: Solve for x
    x = 22,523,636,740.80/157,393.09
  6. Step 6: Final answer
    x = 143,104.36

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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.