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Finding the Fourth Proportional to 146,638, 202,360.98 and 79,570

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Solution

The fourth proportional to 146,638, 202,360.98 and 79,570 is: 109,806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,638 : 202,360.98 = 79,570 : x
  2. Step 2: Convert to fraction form
    146,638/202,360.98 = 79,570/x
  3. Step 3: Cross multiply
    146,638x = 202,360.98 × 79,570
  4. Step 4: Simplify right side
    146,638x = 16,101,863,178.60
  5. Step 5: Solve for x
    x = 16,101,863,178.60/146,638
  6. Step 6: Final answer
    x = 109,806.89

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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.