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Finding the Fourth Proportional to 160,846.32, 221,822.64 and 100,422.54

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Solution

The fourth proportional to 160,846.32, 221,822.64 and 100,422.54 is: 138,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,846.32 : 221,822.64 = 100,422.54 : x
  2. Step 2: Convert to fraction form
    160,846.32/221,822.64 = 100,422.54/x
  3. Step 3: Cross multiply
    160,846.32x = 221,822.64 × 100,422.54
  4. Step 4: Simplify right side
    160,846.32x = 22,275,992,938.31
  5. Step 5: Solve for x
    x = 22,275,992,938.31/160,846.32
  6. Step 6: Final answer
    x = 138,492.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.