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Finding the Fourth Proportional to 160,483.74, 221,575.14 and 100,078.80

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Solution

The fourth proportional to 160,483.74, 221,575.14 and 100,078.80 is: 138,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,483.74 : 221,575.14 = 100,078.80 : x
  2. Step 2: Convert to fraction form
    160,483.74/221,575.14 = 100,078.80/x
  3. Step 3: Cross multiply
    160,483.74x = 221,575.14 × 100,078.80
  4. Step 4: Simplify right side
    160,483.74x = 22,174,974,121.03
  5. Step 5: Solve for x
    x = 22,174,974,121.03/160,483.74
  6. Step 6: Final answer
    x = 138,175.83

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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.