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Finding the Fourth Proportional to 162,144, 243,216 and 63,648

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Solution

The fourth proportional to 162,144, 243,216 and 63,648 is: 95,472

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,144 : 243,216 = 63,648 : x
  2. Step 2: Convert to fraction form
    162,144/243,216 = 63,648/x
  3. Step 3: Cross multiply
    162,144x = 243,216 × 63,648
  4. Step 4: Simplify right side
    162,144x = 15,480,211,968
  5. Step 5: Solve for x
    x = 15,480,211,968/162,144
  6. Step 6: Final answer
    x = 95,472

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Why These Related Problems?

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