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Finding the Fourth Proportional to 216,015.46, 298,071.70 and 120,503.70

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Solution

The fourth proportional to 216,015.46, 298,071.70 and 120,503.70 is: 166,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,015.46 : 298,071.70 = 120,503.70 : x
  2. Step 2: Convert to fraction form
    216,015.46/298,071.70 = 120,503.70/x
  3. Step 3: Cross multiply
    216,015.46x = 298,071.70 × 120,503.70
  4. Step 4: Simplify right side
    216,015.46x = 35,918,742,414.03
  5. Step 5: Solve for x
    x = 35,918,742,414.03/216,015.46
  6. Step 6: Final answer
    x = 166,278.57

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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.