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Finding the Fourth Proportional to 188,771.52, 260,509.86 and 103,893.78

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Solution

The fourth proportional to 188,771.52, 260,509.86 and 103,893.78 is: 143,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,771.52 : 260,509.86 = 103,893.78 : x
  2. Step 2: Convert to fraction form
    188,771.52/260,509.86 = 103,893.78/x
  3. Step 3: Cross multiply
    188,771.52x = 260,509.86 × 103,893.78
  4. Step 4: Simplify right side
    188,771.52x = 27,065,354,082.67
  5. Step 5: Solve for x
    x = 27,065,354,082.67/188,771.52
  6. Step 6: Final answer
    x = 143,376.26

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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.