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Finding the Fourth Proportional to 188,325.90, 259,894.26 and 102,288.06

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Solution

The fourth proportional to 188,325.90, 259,894.26 and 102,288.06 is: 141,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,325.90 : 259,894.26 = 102,288.06 : x
  2. Step 2: Convert to fraction form
    188,325.90/259,894.26 = 102,288.06/x
  3. Step 3: Cross multiply
    188,325.90x = 259,894.26 × 102,288.06
  4. Step 4: Simplify right side
    188,325.90x = 26,584,079,660.54
  5. Step 5: Solve for x
    x = 26,584,079,660.54/188,325.90
  6. Step 6: Final answer
    x = 141,159.98

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1.5x scale

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.