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Finding the Fourth Proportional to 261,954, 392,963.94 and 102,033.54

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Solution

The fourth proportional to 261,954, 392,963.94 and 102,033.54 is: 153,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,954 : 392,963.94 = 102,033.54 : x
  2. Step 2: Convert to fraction form
    261,954/392,963.94 = 102,033.54/x
  3. Step 3: Cross multiply
    261,954x = 392,963.94 × 102,033.54
  4. Step 4: Simplify right side
    261,954x = 40,095,501,890.55
  5. Step 5: Solve for x
    x = 40,095,501,890.55/261,954
  6. Step 6: Final answer
    x = 153,063.14

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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.