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Finding the Fourth Proportional to 154,100, 212,658 and 83,444

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Solution

The fourth proportional to 154,100, 212,658 and 83,444 is: 115,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,100 : 212,658 = 83,444 : x
  2. Step 2: Convert to fraction form
    154,100/212,658 = 83,444/x
  3. Step 3: Cross multiply
    154,100x = 212,658 × 83,444
  4. Step 4: Simplify right side
    154,100x = 17,745,034,152
  5. Step 5: Solve for x
    x = 17,745,034,152/154,100
  6. Step 6: Final answer
    x = 115,152.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.