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Finding the Fourth Proportional to 154,121, 231,181.50 and 43,313

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Solution

The fourth proportional to 154,121, 231,181.50 and 43,313 is: 64,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,121 : 231,181.50 = 43,313 : x
  2. Step 2: Convert to fraction form
    154,121/231,181.50 = 43,313/x
  3. Step 3: Cross multiply
    154,121x = 231,181.50 × 43,313
  4. Step 4: Simplify right side
    154,121x = 10,013,164,309.50
  5. Step 5: Solve for x
    x = 10,013,164,309.50/154,121
  6. Step 6: Final answer
    x = 64,969.50

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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.