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Finding the Fourth Proportional to 154,022.40, 231,033.60 and 137,109.60

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Solution

The fourth proportional to 154,022.40, 231,033.60 and 137,109.60 is: 205,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,022.40 : 231,033.60 = 137,109.60 : x
  2. Step 2: Convert to fraction form
    154,022.40/231,033.60 = 137,109.60/x
  3. Step 3: Cross multiply
    154,022.40x = 231,033.60 × 137,109.60
  4. Step 4: Simplify right side
    154,022.40x = 31,676,924,482.56
  5. Step 5: Solve for x
    x = 31,676,924,482.56/154,022.40
  6. Step 6: Final answer
    x = 205,664.40

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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.