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Finding the Fourth Proportional to 160,648.70, 221,696.47 and 89,029.90

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Solution

The fourth proportional to 160,648.70, 221,696.47 and 89,029.90 is: 122,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,648.70 : 221,696.47 = 89,029.90 : x
  2. Step 2: Convert to fraction form
    160,648.70/221,696.47 = 89,029.90/x
  3. Step 3: Cross multiply
    160,648.70x = 221,696.47 × 89,029.90
  4. Step 4: Simplify right side
    160,648.70x = 19,737,614,554.45
  5. Step 5: Solve for x
    x = 19,737,614,554.45/160,648.70
  6. Step 6: Final answer
    x = 122,861.96

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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.