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Finding the Fourth Proportional to 209,018.84, 313,611.32 and 66,886.00

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Solution

The fourth proportional to 209,018.84, 313,611.32 and 66,886.00 is: 100,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,018.84 : 313,611.32 = 66,886.00 : x
  2. Step 2: Convert to fraction form
    209,018.84/313,611.32 = 66,886.00/x
  3. Step 3: Cross multiply
    209,018.84x = 313,611.32 × 66,886.00
  4. Step 4: Simplify right side
    209,018.84x = 20,976,206,132.71
  5. Step 5: Solve for x
    x = 20,976,206,132.71/209,018.84
  6. Step 6: Final answer
    x = 100,355.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.