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Finding the Fourth Proportional to 162,223, 243,334.50 and 51,415

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Solution

The fourth proportional to 162,223, 243,334.50 and 51,415 is: 77,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,223 : 243,334.50 = 51,415 : x
  2. Step 2: Convert to fraction form
    162,223/243,334.50 = 51,415/x
  3. Step 3: Cross multiply
    162,223x = 243,334.50 × 51,415
  4. Step 4: Simplify right side
    162,223x = 12,511,043,317.50
  5. Step 5: Solve for x
    x = 12,511,043,317.50/162,223
  6. Step 6: Final answer
    x = 77,122.50

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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.