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Finding the Fourth Proportional to 209,953.50, 289,747.35 and 120,535.26

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Solution

The fourth proportional to 209,953.50, 289,747.35 and 120,535.26 is: 166,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953.50 : 289,747.35 = 120,535.26 : x
  2. Step 2: Convert to fraction form
    209,953.50/289,747.35 = 120,535.26/x
  3. Step 3: Cross multiply
    209,953.50x = 289,747.35 × 120,535.26
  4. Step 4: Simplify right side
    209,953.50x = 34,924,772,166.56
  5. Step 5: Solve for x
    x = 34,924,772,166.56/209,953.50
  6. Step 6: Final answer
    x = 166,345.27

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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.