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Finding the Fourth Proportional to 160,304.64, 221,217 and 88,682.64

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Solution

The fourth proportional to 160,304.64, 221,217 and 88,682.64 is: 122,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,304.64 : 221,217 = 88,682.64 : x
  2. Step 2: Convert to fraction form
    160,304.64/221,217 = 88,682.64/x
  3. Step 3: Cross multiply
    160,304.64x = 221,217 × 88,682.64
  4. Step 4: Simplify right side
    160,304.64x = 19,618,107,572.88
  5. Step 5: Solve for x
    x = 19,618,107,572.88/160,304.64
  6. Step 6: Final answer
    x = 122,380.16

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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.