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Finding the Fourth Proportional to 154,014, 231,034.08 and 43,206

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Solution

The fourth proportional to 154,014, 231,034.08 and 43,206 is: 64,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,014 : 231,034.08 = 43,206 : x
  2. Step 2: Convert to fraction form
    154,014/231,034.08 = 43,206/x
  3. Step 3: Cross multiply
    154,014x = 231,034.08 × 43,206
  4. Step 4: Simplify right side
    154,014x = 9,982,058,460.48
  5. Step 5: Solve for x
    x = 9,982,058,460.48/154,014
  6. Step 6: Final answer
    x = 64,812.67

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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.