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Finding the Fourth Proportional to 188,210.52, 259,730.72 and 102,169.46

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Solution

The fourth proportional to 188,210.52, 259,730.72 and 102,169.46 is: 140,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,210.52 : 259,730.72 = 102,169.46 : x
  2. Step 2: Convert to fraction form
    188,210.52/259,730.72 = 102,169.46/x
  3. Step 3: Cross multiply
    188,210.52x = 259,730.72 × 102,169.46
  4. Step 4: Simplify right side
    188,210.52x = 26,536,547,929.43
  5. Step 5: Solve for x
    x = 26,536,547,929.43/188,210.52
  6. Step 6: Final answer
    x = 140,993.97

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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.