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Finding the Fourth Proportional to 122,686.97, 183,955.06 and 47,719.72

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Solution

The fourth proportional to 122,686.97, 183,955.06 and 47,719.72 is: 71,550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,686.97 : 183,955.06 = 47,719.72 : x
  2. Step 2: Convert to fraction form
    122,686.97/183,955.06 = 47,719.72/x
  3. Step 3: Cross multiply
    122,686.97x = 183,955.06 × 47,719.72
  4. Step 4: Simplify right side
    122,686.97x = 8,778,284,245.38
  5. Step 5: Solve for x
    x = 8,778,284,245.38/122,686.97
  6. Step 6: Final answer
    x = 71,550.26

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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.