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Finding the Fourth Proportional to 188,539.78, 260,185.86 and 103,662.30

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Solution

The fourth proportional to 188,539.78, 260,185.86 and 103,662.30 is: 143,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,539.78 : 260,185.86 = 103,662.30 : x
  2. Step 2: Convert to fraction form
    188,539.78/260,185.86 = 103,662.30/x
  3. Step 3: Cross multiply
    188,539.78x = 260,185.86 × 103,662.30
  4. Step 4: Simplify right side
    188,539.78x = 26,971,464,675.08
  5. Step 5: Solve for x
    x = 26,971,464,675.08/188,539.78
  6. Step 6: Final answer
    x = 143,054.50

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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.