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Finding the Fourth Proportional to 216,420.63, 298,654.89 and 120,928.11

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Solution

The fourth proportional to 216,420.63, 298,654.89 and 120,928.11 is: 166,877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,420.63 : 298,654.89 = 120,928.11 : x
  2. Step 2: Convert to fraction form
    216,420.63/298,654.89 = 120,928.11/x
  3. Step 3: Cross multiply
    216,420.63x = 298,654.89 × 120,928.11
  4. Step 4: Simplify right side
    216,420.63x = 36,115,771,389.96
  5. Step 5: Solve for x
    x = 36,115,771,389.96/216,420.63
  6. Step 6: Final answer
    x = 166,877.67

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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.