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Finding the Fourth Proportional to 154,041, 212,576.60 and 83,385

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Solution

The fourth proportional to 154,041, 212,576.60 and 83,385 is: 115,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,041 : 212,576.60 = 83,385 : x
  2. Step 2: Convert to fraction form
    154,041/212,576.60 = 83,385/x
  3. Step 3: Cross multiply
    154,041x = 212,576.60 × 83,385
  4. Step 4: Simplify right side
    154,041x = 17,725,699,791
  5. Step 5: Solve for x
    x = 17,725,699,791/154,041
  6. Step 6: Final answer
    x = 115,071.31

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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.