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Finding the Fourth Proportional to 160,433.82, 221,401.31 and 87,835.50

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Solution

The fourth proportional to 160,433.82, 221,401.31 and 87,835.50 is: 121,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,433.82 : 221,401.31 = 87,835.50 : x
  2. Step 2: Convert to fraction form
    160,433.82/221,401.31 = 87,835.50/x
  3. Step 3: Cross multiply
    160,433.82x = 221,401.31 × 87,835.50
  4. Step 4: Simplify right side
    160,433.82x = 19,446,894,325.33
  5. Step 5: Solve for x
    x = 19,446,894,325.33/160,433.82
  6. Step 6: Final answer
    x = 121,214.43

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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.