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Finding the Fourth Proportional to 154,020, 231,030 and 55,524

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Solution

The fourth proportional to 154,020, 231,030 and 55,524 is: 83,286

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,020 : 231,030 = 55,524 : x
  2. Step 2: Convert to fraction form
    154,020/231,030 = 55,524/x
  3. Step 3: Cross multiply
    154,020x = 231,030 × 55,524
  4. Step 4: Simplify right side
    154,020x = 12,827,709,720
  5. Step 5: Solve for x
    x = 12,827,709,720/154,020
  6. Step 6: Final answer
    x = 83,286

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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.