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Finding the Fourth Proportional to 216,491.76, 298,772.64 and 121,002.48

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Solution

The fourth proportional to 216,491.76, 298,772.64 and 121,002.48 is: 166,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,491.76 : 298,772.64 = 121,002.48 : x
  2. Step 2: Convert to fraction form
    216,491.76/298,772.64 = 121,002.48/x
  3. Step 3: Cross multiply
    216,491.76x = 298,772.64 × 121,002.48
  4. Step 4: Simplify right side
    216,491.76x = 36,152,230,396.15
  5. Step 5: Solve for x
    x = 36,152,230,396.15/216,491.76
  6. Step 6: Final answer
    x = 166,991.25

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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.