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Finding the Fourth Proportional to 216,071.94, 298,143.60 and 120,578.40

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Solution

The fourth proportional to 216,071.94, 298,143.60 and 120,578.40 is: 166,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,071.94 : 298,143.60 = 120,578.40 : x
  2. Step 2: Convert to fraction form
    216,071.94/298,143.60 = 120,578.40/x
  3. Step 3: Cross multiply
    216,071.94x = 298,143.60 × 120,578.40
  4. Step 4: Simplify right side
    216,071.94x = 35,949,678,258.24
  5. Step 5: Solve for x
    x = 35,949,678,258.24/216,071.94
  6. Step 6: Final answer
    x = 166,378.28

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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.