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Finding the Fourth Proportional to 160,480.74, 221,571 and 100,075.80

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Solution

The fourth proportional to 160,480.74, 221,571 and 100,075.80 is: 138,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,480.74 : 221,571 = 100,075.80 : x
  2. Step 2: Convert to fraction form
    160,480.74/221,571 = 100,075.80/x
  3. Step 3: Cross multiply
    160,480.74x = 221,571 × 100,075.80
  4. Step 4: Simplify right side
    160,480.74x = 22,173,895,081.80
  5. Step 5: Solve for x
    x = 22,173,895,081.80/160,480.74
  6. Step 6: Final answer
    x = 138,171.69

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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.