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Finding the Fourth Proportional to 166,401.60, 229,568.80 and 102,628.80

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Solution

The fourth proportional to 166,401.60, 229,568.80 and 102,628.80 is: 141,587.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,401.60 : 229,568.80 = 102,628.80 : x
  2. Step 2: Convert to fraction form
    166,401.60/229,568.80 = 102,628.80/x
  3. Step 3: Cross multiply
    166,401.60x = 229,568.80 × 102,628.80
  4. Step 4: Simplify right side
    166,401.60x = 23,560,370,461.44
  5. Step 5: Solve for x
    x = 23,560,370,461.44/166,401.60
  6. Step 6: Final answer
    x = 141,587.40

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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.