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Finding the Fourth Proportional to 216,294.66, 298,443.28 and 120,786.66

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Solution

The fourth proportional to 216,294.66, 298,443.28 and 120,786.66 is: 166,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,294.66 : 298,443.28 = 120,786.66 : x
  2. Step 2: Convert to fraction form
    216,294.66/298,443.28 = 120,786.66/x
  3. Step 3: Cross multiply
    216,294.66x = 298,443.28 × 120,786.66
  4. Step 4: Simplify right side
    216,294.66x = 36,047,964,894.50
  5. Step 5: Solve for x
    x = 36,047,964,894.50/216,294.66
  6. Step 6: Final answer
    x = 166,661.38

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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.