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Finding the Fourth Proportional to 209,265.60, 313,919.06 and 67,075.17

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Solution

The fourth proportional to 209,265.60, 313,919.06 and 67,075.17 is: 100,619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,265.60 : 313,919.06 = 67,075.17 : x
  2. Step 2: Convert to fraction form
    209,265.60/313,919.06 = 67,075.17/x
  3. Step 3: Cross multiply
    209,265.60x = 313,919.06 × 67,075.17
  4. Step 4: Simplify right side
    209,265.60x = 21,056,174,315.74
  5. Step 5: Solve for x
    x = 21,056,174,315.74/209,265.60
  6. Step 6: Final answer
    x = 100,619.38

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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.