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Finding the Fourth Proportional to 192,431.40, 288,938.70 and 148,108.20

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Solution

The fourth proportional to 192,431.40, 288,938.70 and 148,108.20 is: 222,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,431.40 : 288,938.70 = 148,108.20 : x
  2. Step 2: Convert to fraction form
    192,431.40/288,938.70 = 148,108.20/x
  3. Step 3: Cross multiply
    192,431.40x = 288,938.70 × 148,108.20
  4. Step 4: Simplify right side
    192,431.40x = 42,794,190,767.34
  5. Step 5: Solve for x
    x = 42,794,190,767.34/192,431.40
  6. Step 6: Final answer
    x = 222,386.74

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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.