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Finding the Fourth Proportional to 192,401.40, 288,893.70 and 148,078.20

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Solution

The fourth proportional to 192,401.40, 288,893.70 and 148,078.20 is: 222,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,401.40 : 288,893.70 = 148,078.20 : x
  2. Step 2: Convert to fraction form
    192,401.40/288,893.70 = 148,078.20/x
  3. Step 3: Cross multiply
    192,401.40x = 288,893.70 × 148,078.20
  4. Step 4: Simplify right side
    192,401.40x = 42,778,859,087.34
  5. Step 5: Solve for x
    x = 42,778,859,087.34/192,401.40
  6. Step 6: Final answer
    x = 222,341.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.