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Finding the Fourth Proportional to 123,804, 185,708.48 and 40,698

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Solution

The fourth proportional to 123,804, 185,708.48 and 40,698 is: 61,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,804 : 185,708.48 = 40,698 : x
  2. Step 2: Convert to fraction form
    123,804/185,708.48 = 40,698/x
  3. Step 3: Cross multiply
    123,804x = 185,708.48 × 40,698
  4. Step 4: Simplify right side
    123,804x = 7,557,963,515.55
  5. Step 5: Solve for x
    x = 7,557,963,515.55/123,804
  6. Step 6: Final answer
    x = 61,047.81

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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.