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Finding the Fourth Proportional to 162,144, 243,217.08 and 51,336

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Solution

The fourth proportional to 162,144, 243,217.08 and 51,336 is: 77,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,144 : 243,217.08 = 51,336 : x
  2. Step 2: Convert to fraction form
    162,144/243,217.08 = 51,336/x
  3. Step 3: Cross multiply
    162,144x = 243,217.08 × 51,336
  4. Step 4: Simplify right side
    162,144x = 12,485,792,018.88
  5. Step 5: Solve for x
    x = 12,485,792,018.88/162,144
  6. Step 6: Final answer
    x = 77,004.34

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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.