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Finding the Fourth Proportional to 188,714.64, 260,426.16 and 103,829.88

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Solution

The fourth proportional to 188,714.64, 260,426.16 and 103,829.88 is: 143,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,714.64 : 260,426.16 = 103,829.88 : x
  2. Step 2: Convert to fraction form
    188,714.64/260,426.16 = 103,829.88/x
  3. Step 3: Cross multiply
    188,714.64x = 260,426.16 × 103,829.88
  4. Step 4: Simplify right side
    188,714.64x = 27,040,016,941.66
  5. Step 5: Solve for x
    x = 27,040,016,941.66/188,714.64
  6. Step 6: Final answer
    x = 143,285.21

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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.