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Finding the Fourth Proportional to 216,000.78, 298,081.94 and 120,511.50

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Solution

The fourth proportional to 216,000.78, 298,081.94 and 120,511.50 is: 166,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,000.78 : 298,081.94 = 120,511.50 : x
  2. Step 2: Convert to fraction form
    216,000.78/298,081.94 = 120,511.50/x
  3. Step 3: Cross multiply
    216,000.78x = 298,081.94 × 120,511.50
  4. Step 4: Simplify right side
    216,000.78x = 35,922,301,109.75
  5. Step 5: Solve for x
    x = 35,922,301,109.75/216,000.78
  6. Step 6: Final answer
    x = 166,306.35

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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.