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Finding the Fourth Proportional to 188,468.64, 260,086.86 and 103,585.68

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Solution

The fourth proportional to 188,468.64, 260,086.86 and 103,585.68 is: 142,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,468.64 : 260,086.86 = 103,585.68 : x
  2. Step 2: Convert to fraction form
    188,468.64/260,086.86 = 103,585.68/x
  3. Step 3: Cross multiply
    188,468.64x = 260,086.86 × 103,585.68
  4. Step 4: Simplify right side
    188,468.64x = 26,941,274,252.16
  5. Step 5: Solve for x
    x = 26,941,274,252.16/188,468.64
  6. Step 6: Final answer
    x = 142,948.31

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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.