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Finding the Fourth Proportional to 216,234, 298,399.68 and 120,742.08

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Solution

The fourth proportional to 216,234, 298,399.68 and 120,742.08 is: 166,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,234 : 298,399.68 = 120,742.08 : x
  2. Step 2: Convert to fraction form
    216,234/298,399.68 = 120,742.08/x
  3. Step 3: Cross multiply
    216,234x = 298,399.68 × 120,742.08
  4. Step 4: Simplify right side
    216,234x = 36,029,398,034.53
  5. Step 5: Solve for x
    x = 36,029,398,034.53/216,234
  6. Step 6: Final answer
    x = 166,622.26

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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.