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Finding the Fourth Proportional to 209,335.63, 288,874.41 and 118,697.74

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Solution

The fourth proportional to 209,335.63, 288,874.41 and 118,697.74 is: 163,797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,335.63 : 288,874.41 = 118,697.74 : x
  2. Step 2: Convert to fraction form
    209,335.63/288,874.41 = 118,697.74/x
  3. Step 3: Cross multiply
    209,335.63x = 288,874.41 × 118,697.74
  4. Step 4: Simplify right side
    209,335.63x = 34,288,739,610.83
  5. Step 5: Solve for x
    x = 34,288,739,610.83/209,335.63
  6. Step 6: Final answer
    x = 163,797.91

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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.