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Finding the Fourth Proportional to 209,145.69, 288,621.32 and 118,507.77

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Solution

The fourth proportional to 209,145.69, 288,621.32 and 118,507.77 is: 163,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,145.69 : 288,621.32 = 118,507.77 : x
  2. Step 2: Convert to fraction form
    209,145.69/288,621.32 = 118,507.77/x
  3. Step 3: Cross multiply
    209,145.69x = 288,621.32 × 118,507.77
  4. Step 4: Simplify right side
    209,145.69x = 34,203,868,415.12
  5. Step 5: Solve for x
    x = 34,203,868,415.12/209,145.69
  6. Step 6: Final answer
    x = 163,540.87

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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.