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Finding the Fourth Proportional to 103,785.54, 143,174.33 and 99,761.86

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Solution

The fourth proportional to 103,785.54, 143,174.33 and 99,761.86 is: 137,623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,785.54 : 143,174.33 = 99,761.86 : x
  2. Step 2: Convert to fraction form
    103,785.54/143,174.33 = 99,761.86/x
  3. Step 3: Cross multiply
    103,785.54x = 143,174.33 × 99,761.86
  4. Step 4: Simplify right side
    103,785.54x = 14,283,337,465.05
  5. Step 5: Solve for x
    x = 14,283,337,465.05/103,785.54
  6. Step 6: Final answer
    x = 137,623.58

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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.