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Finding the Fourth Proportional to 154,328, 231,491.76 and 101,354.42

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Solution

The fourth proportional to 154,328, 231,491.76 and 101,354.42 is: 152,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,328 : 231,491.76 = 101,354.42 : x
  2. Step 2: Convert to fraction form
    154,328/231,491.76 = 101,354.42/x
  3. Step 3: Cross multiply
    154,328x = 231,491.76 × 101,354.42
  4. Step 4: Simplify right side
    154,328x = 23,462,713,069.58
  5. Step 5: Solve for x
    x = 23,462,713,069.58/154,328
  6. Step 6: Final answer
    x = 152,031.47

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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.