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Finding the Fourth Proportional to 154,116, 231,174 and 43,308

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Solution

The fourth proportional to 154,116, 231,174 and 43,308 is: 64,962

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,116 : 231,174 = 43,308 : x
  2. Step 2: Convert to fraction form
    154,116/231,174 = 43,308/x
  3. Step 3: Cross multiply
    154,116x = 231,174 × 43,308
  4. Step 4: Simplify right side
    154,116x = 10,011,683,592
  5. Step 5: Solve for x
    x = 10,011,683,592/154,116
  6. Step 6: Final answer
    x = 64,962

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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.