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Finding the Fourth Proportional to 154,863.86, 213,485.92 and 109,461.74

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Solution

The fourth proportional to 154,863.86, 213,485.92 and 109,461.74 is: 150,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,863.86 : 213,485.92 = 109,461.74 : x
  2. Step 2: Convert to fraction form
    154,863.86/213,485.92 = 109,461.74/x
  3. Step 3: Cross multiply
    154,863.86x = 213,485.92 × 109,461.74
  4. Step 4: Simplify right side
    154,863.86x = 23,368,540,268.70
  5. Step 5: Solve for x
    x = 23,368,540,268.70/154,863.86
  6. Step 6: Final answer
    x = 150,897.31

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1.5x scale

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.