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Finding the Fourth Proportional to 160,796.10, 221,911.90 and 89,199.20

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Solution

The fourth proportional to 160,796.10, 221,911.90 and 89,199.20 is: 123,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,796.10 : 221,911.90 = 89,199.20 : x
  2. Step 2: Convert to fraction form
    160,796.10/221,911.90 = 89,199.20/x
  3. Step 3: Cross multiply
    160,796.10x = 221,911.90 × 89,199.20
  4. Step 4: Simplify right side
    160,796.10x = 19,794,363,950.48
  5. Step 5: Solve for x
    x = 19,794,363,950.48/160,796.10
  6. Step 6: Final answer
    x = 123,102.26

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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.