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Finding the Fourth Proportional to 147,780, 221,670 and 36,972

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Solution

The fourth proportional to 147,780, 221,670 and 36,972 is: 55,458

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,780 : 221,670 = 36,972 : x
  2. Step 2: Convert to fraction form
    147,780/221,670 = 36,972/x
  3. Step 3: Cross multiply
    147,780x = 221,670 × 36,972
  4. Step 4: Simplify right side
    147,780x = 8,195,583,240
  5. Step 5: Solve for x
    x = 8,195,583,240/147,780
  6. Step 6: Final answer
    x = 55,458

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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.