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Finding the Fourth Proportional to 188,210.54, 259,730.80 and 102,169.50

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Solution

The fourth proportional to 188,210.54, 259,730.80 and 102,169.50 is: 140,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,210.54 : 259,730.80 = 102,169.50 : x
  2. Step 2: Convert to fraction form
    188,210.54/259,730.80 = 102,169.50/x
  3. Step 3: Cross multiply
    188,210.54x = 259,730.80 × 102,169.50
  4. Step 4: Simplify right side
    188,210.54x = 26,536,565,970.60
  5. Step 5: Solve for x
    x = 26,536,565,970.60/188,210.54
  6. Step 6: Final answer
    x = 140,994.05

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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.