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Finding the Fourth Proportional to 188,641.92, 260,320.74 and 106,985.16

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Solution

The fourth proportional to 188,641.92, 260,320.74 and 106,985.16 is: 147,636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,641.92 : 260,320.74 = 106,985.16 : x
  2. Step 2: Convert to fraction form
    188,641.92/260,320.74 = 106,985.16/x
  3. Step 3: Cross multiply
    188,641.92x = 260,320.74 × 106,985.16
  4. Step 4: Simplify right side
    188,641.92x = 27,850,456,020.22
  5. Step 5: Solve for x
    x = 27,850,456,020.22/188,641.92
  6. Step 6: Final answer
    x = 147,636.62

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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.