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Finding the Fourth Proportional to 146,380, 202,004.55 and 79,312

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Solution

The fourth proportional to 146,380, 202,004.55 and 79,312 is: 109,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,380 : 202,004.55 = 79,312 : x
  2. Step 2: Convert to fraction form
    146,380/202,004.55 = 79,312/x
  3. Step 3: Cross multiply
    146,380x = 202,004.55 × 79,312
  4. Step 4: Simplify right side
    146,380x = 16,021,384,869.60
  5. Step 5: Solve for x
    x = 16,021,384,869.60/146,380
  6. Step 6: Final answer
    x = 109,450.64

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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.