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Finding the Fourth Proportional to 154,142, 231,213.01 and 43,334

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Solution

The fourth proportional to 154,142, 231,213.01 and 43,334 is: 65,001.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,142 : 231,213.01 = 43,334 : x
  2. Step 2: Convert to fraction form
    154,142/231,213.01 = 43,334/x
  3. Step 3: Cross multiply
    154,142x = 231,213.01 × 43,334
  4. Step 4: Simplify right side
    154,142x = 10,019,384,575.34
  5. Step 5: Solve for x
    x = 10,019,384,575.34/154,142
  6. Step 6: Final answer
    x = 65,001.00

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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.