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Finding the Fourth Proportional to 188,275.14, 259,821.51 and 103,394.01

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Solution

The fourth proportional to 188,275.14, 259,821.51 and 103,394.01 is: 142,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,275.14 : 259,821.51 = 103,394.01 : x
  2. Step 2: Convert to fraction form
    188,275.14/259,821.51 = 103,394.01/x
  3. Step 3: Cross multiply
    188,275.14x = 259,821.51 × 103,394.01
  4. Step 4: Simplify right side
    188,275.14x = 26,863,987,803.16
  5. Step 5: Solve for x
    x = 26,863,987,803.16/188,275.14
  6. Step 6: Final answer
    x = 142,684.73

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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.