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Finding the Fourth Proportional to 146,923, 202,753.74 and 87,307

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Solution

The fourth proportional to 146,923, 202,753.74 and 87,307 is: 120,483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,923 : 202,753.74 = 87,307 : x
  2. Step 2: Convert to fraction form
    146,923/202,753.74 = 87,307/x
  3. Step 3: Cross multiply
    146,923x = 202,753.74 × 87,307
  4. Step 4: Simplify right side
    146,923x = 17,701,820,778.18
  5. Step 5: Solve for x
    x = 17,701,820,778.18/146,923
  6. Step 6: Final answer
    x = 120,483.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.