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Finding the Fourth Proportional to 103,898.56, 143,372.82 and 58,578.16

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Solution

The fourth proportional to 103,898.56, 143,372.82 and 58,578.16 is: 80,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,898.56 : 143,372.82 = 58,578.16 : x
  2. Step 2: Convert to fraction form
    103,898.56/143,372.82 = 58,578.16/x
  3. Step 3: Cross multiply
    103,898.56x = 143,372.82 × 58,578.16
  4. Step 4: Simplify right side
    103,898.56x = 8,398,515,989.61
  5. Step 5: Solve for x
    x = 8,398,515,989.61/103,898.56
  6. Step 6: Final answer
    x = 80,833.81

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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.