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Finding the Fourth Proportional to 154,131, 231,196.50 and 43,323

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Solution

The fourth proportional to 154,131, 231,196.50 and 43,323 is: 64,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,131 : 231,196.50 = 43,323 : x
  2. Step 2: Convert to fraction form
    154,131/231,196.50 = 43,323/x
  3. Step 3: Cross multiply
    154,131x = 231,196.50 × 43,323
  4. Step 4: Simplify right side
    154,131x = 10,016,125,969.50
  5. Step 5: Solve for x
    x = 10,016,125,969.50/154,131
  6. Step 6: Final answer
    x = 64,984.50

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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.