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Finding the Fourth Proportional to 160,540.32, 221,486.16 and 103,982.88

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Solution

The fourth proportional to 160,540.32, 221,486.16 and 103,982.88 is: 143,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,540.32 : 221,486.16 = 103,982.88 : x
  2. Step 2: Convert to fraction form
    160,540.32/221,486.16 = 103,982.88/x
  3. Step 3: Cross multiply
    160,540.32x = 221,486.16 × 103,982.88
  4. Step 4: Simplify right side
    160,540.32x = 23,030,768,796.94
  5. Step 5: Solve for x
    x = 23,030,768,796.94/160,540.32
  6. Step 6: Final answer
    x = 143,457.85

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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.