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Finding the Fourth Proportional to 154,120.78, 231,181.17 and 43,312.78

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Solution

The fourth proportional to 154,120.78, 231,181.17 and 43,312.78 is: 64,969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,120.78 : 231,181.17 = 43,312.78 : x
  2. Step 2: Convert to fraction form
    154,120.78/231,181.17 = 43,312.78/x
  3. Step 3: Cross multiply
    154,120.78x = 231,181.17 × 43,312.78
  4. Step 4: Simplify right side
    154,120.78x = 10,013,099,526.54
  5. Step 5: Solve for x
    x = 10,013,099,526.54/154,120.78
  6. Step 6: Final answer
    x = 64,969.17

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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.