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Finding the Fourth Proportional to 188,782.94, 260,515.52 and 102,743.64

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Solution

The fourth proportional to 188,782.94, 260,515.52 and 102,743.64 is: 141,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,782.94 : 260,515.52 = 102,743.64 : x
  2. Step 2: Convert to fraction form
    188,782.94/260,515.52 = 102,743.64/x
  3. Step 3: Cross multiply
    188,782.94x = 260,515.52 × 102,743.64
  4. Step 4: Simplify right side
    188,782.94x = 26,766,312,801.29
  5. Step 5: Solve for x
    x = 26,766,312,801.29/188,782.94
  6. Step 6: Final answer
    x = 141,783.54

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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.