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Finding the Fourth Proportional to 216,887.16, 299,310.62 and 121,391.40

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Solution

The fourth proportional to 216,887.16, 299,310.62 and 121,391.40 is: 167,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,887.16 : 299,310.62 = 121,391.40 : x
  2. Step 2: Convert to fraction form
    216,887.16/299,310.62 = 121,391.40/x
  3. Step 3: Cross multiply
    216,887.16x = 299,310.62 × 121,391.40
  4. Step 4: Simplify right side
    216,887.16x = 36,333,734,589.71
  5. Step 5: Solve for x
    x = 36,333,734,589.71/216,887.16
  6. Step 6: Final answer
    x = 167,523.68

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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.