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Finding the Fourth Proportional to 188,463.36, 260,080 and 103,589.12

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Solution

The fourth proportional to 188,463.36, 260,080 and 103,589.12 is: 142,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,463.36 : 260,080 = 103,589.12 : x
  2. Step 2: Convert to fraction form
    188,463.36/260,080 = 103,589.12/x
  3. Step 3: Cross multiply
    188,463.36x = 260,080 × 103,589.12
  4. Step 4: Simplify right side
    188,463.36x = 26,941,458,329.60
  5. Step 5: Solve for x
    x = 26,941,458,329.60/188,463.36
  6. Step 6: Final answer
    x = 142,953.30

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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.