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Finding the Fourth Proportional to 209,216.53, 288,717.64 and 118,589.64

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Solution

The fourth proportional to 209,216.53, 288,717.64 and 118,589.64 is: 163,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,216.53 : 288,717.64 = 118,589.64 : x
  2. Step 2: Convert to fraction form
    209,216.53/288,717.64 = 118,589.64/x
  3. Step 3: Cross multiply
    209,216.53x = 288,717.64 × 118,589.64
  4. Step 4: Simplify right side
    209,216.53x = 34,238,920,989.25
  5. Step 5: Solve for x
    x = 34,238,920,989.25/209,216.53
  6. Step 6: Final answer
    x = 163,653.04

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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.