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Finding the Fourth Proportional to 160,634.30, 221,676.62 and 89,015.50

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Solution

The fourth proportional to 160,634.30, 221,676.62 and 89,015.50 is: 122,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,634.30 : 221,676.62 = 89,015.50 : x
  2. Step 2: Convert to fraction form
    160,634.30/221,676.62 = 89,015.50/x
  3. Step 3: Cross multiply
    160,634.30x = 221,676.62 × 89,015.50
  4. Step 4: Simplify right side
    160,634.30x = 19,732,655,167.61
  5. Step 5: Solve for x
    x = 19,732,655,167.61/160,634.30
  6. Step 6: Final answer
    x = 122,842.10

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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.