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Finding the Fourth Proportional to 188,354.64, 259,931.52 and 102,314.37

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Solution

The fourth proportional to 188,354.64, 259,931.52 and 102,314.37 is: 141,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,354.64 : 259,931.52 = 102,314.37 : x
  2. Step 2: Convert to fraction form
    188,354.64/259,931.52 = 102,314.37/x
  3. Step 3: Cross multiply
    188,354.64x = 259,931.52 × 102,314.37
  4. Step 4: Simplify right side
    188,354.64x = 26,594,729,711.94
  5. Step 5: Solve for x
    x = 26,594,729,711.94/188,354.64
  6. Step 6: Final answer
    x = 141,194.98

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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.