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Finding the Fourth Proportional to 188,165.70, 259,671.61 and 103,290.50

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Solution

The fourth proportional to 188,165.70, 259,671.61 and 103,290.50 is: 142,542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,165.70 : 259,671.61 = 103,290.50 : x
  2. Step 2: Convert to fraction form
    188,165.70/259,671.61 = 103,290.50/x
  3. Step 3: Cross multiply
    188,165.70x = 259,671.61 × 103,290.50
  4. Step 4: Simplify right side
    188,165.70x = 26,821,610,432.71
  5. Step 5: Solve for x
    x = 26,821,610,432.71/188,165.70
  6. Step 6: Final answer
    x = 142,542.51

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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.