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Finding the Fourth Proportional to 216,386.82, 298,608.30 and 120,894.23

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Solution

The fourth proportional to 216,386.82, 298,608.30 and 120,894.23 is: 166,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,386.82 : 298,608.30 = 120,894.23 : x
  2. Step 2: Convert to fraction form
    216,386.82/298,608.30 = 120,894.23/x
  3. Step 3: Cross multiply
    216,386.82x = 298,608.30 × 120,894.23
  4. Step 4: Simplify right side
    216,386.82x = 36,100,019,007.07
  5. Step 5: Solve for x
    x = 36,100,019,007.07/216,386.82
  6. Step 6: Final answer
    x = 166,830.95

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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.