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Finding the Fourth Proportional to 216,652, 298,977.24 and 121,157.80

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Solution

The fourth proportional to 216,652, 298,977.24 and 121,157.80 is: 167,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,652 : 298,977.24 = 121,157.80 : x
  2. Step 2: Convert to fraction form
    216,652/298,977.24 = 121,157.80/x
  3. Step 3: Cross multiply
    216,652x = 298,977.24 × 121,157.80
  4. Step 4: Simplify right side
    216,652x = 36,223,424,648.47
  5. Step 5: Solve for x
    x = 36,223,424,648.47/216,652
  6. Step 6: Final answer
    x = 167,196.35

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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.