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Finding the Fourth Proportional to 154,038.30, 231,057.45 and 43,230.30

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Solution

The fourth proportional to 154,038.30, 231,057.45 and 43,230.30 is: 64,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,038.30 : 231,057.45 = 43,230.30 : x
  2. Step 2: Convert to fraction form
    154,038.30/231,057.45 = 43,230.30/x
  3. Step 3: Cross multiply
    154,038.30x = 231,057.45 × 43,230.30
  4. Step 4: Simplify right side
    154,038.30x = 9,988,682,880.74
  5. Step 5: Solve for x
    x = 9,988,682,880.74/154,038.30
  6. Step 6: Final answer
    x = 64,845.45

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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.