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Finding the Fourth Proportional to 213,920, 320,897.28 and 66,176

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Solution

The fourth proportional to 213,920, 320,897.28 and 66,176 is: 99,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,920 : 320,897.28 = 66,176 : x
  2. Step 2: Convert to fraction form
    213,920/320,897.28 = 66,176/x
  3. Step 3: Cross multiply
    213,920x = 320,897.28 × 66,176
  4. Step 4: Simplify right side
    213,920x = 21,235,698,401.28
  5. Step 5: Solve for x
    x = 21,235,698,401.28/213,920
  6. Step 6: Final answer
    x = 99,269.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.