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Finding the Fourth Proportional to 160,681, 221,647.44 and 100,222.60

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Solution

The fourth proportional to 160,681, 221,647.44 and 100,222.60 is: 138,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,681 : 221,647.44 = 100,222.60 : x
  2. Step 2: Convert to fraction form
    160,681/221,647.44 = 100,222.60/x
  3. Step 3: Cross multiply
    160,681x = 221,647.44 × 100,222.60
  4. Step 4: Simplify right side
    160,681x = 22,214,082,720.14
  5. Step 5: Solve for x
    x = 22,214,082,720.14/160,681
  6. Step 6: Final answer
    x = 138,249.59

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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.