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Finding the Fourth Proportional to 178,255.50, 245,992.59 and 106,638.54

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Solution

The fourth proportional to 178,255.50, 245,992.59 and 106,638.54 is: 147,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,255.50 : 245,992.59 = 106,638.54 : x
  2. Step 2: Convert to fraction form
    178,255.50/245,992.59 = 106,638.54/x
  3. Step 3: Cross multiply
    178,255.50x = 245,992.59 × 106,638.54
  4. Step 4: Simplify right side
    178,255.50x = 26,232,290,648.42
  5. Step 5: Solve for x
    x = 26,232,290,648.42/178,255.50
  6. Step 6: Final answer
    x = 147,161.19

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1.5x scale

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.