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Finding the Fourth Proportional to 209,614.50, 289,289.88 and 118,994.94

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Solution

The fourth proportional to 209,614.50, 289,289.88 and 118,994.94 is: 164,225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,614.50 : 289,289.88 = 118,994.94 : x
  2. Step 2: Convert to fraction form
    209,614.50/289,289.88 = 118,994.94/x
  3. Step 3: Cross multiply
    209,614.50x = 289,289.88 × 118,994.94
  4. Step 4: Simplify right side
    209,614.50x = 34,424,031,913.21
  5. Step 5: Solve for x
    x = 34,424,031,913.21/209,614.50
  6. Step 6: Final answer
    x = 164,225.43

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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.