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Finding the Fourth Proportional to 209,732, 289,430.16 and 120,336.80

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Solution

The fourth proportional to 209,732, 289,430.16 and 120,336.80 is: 166,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,732 : 289,430.16 = 120,336.80 : x
  2. Step 2: Convert to fraction form
    209,732/289,430.16 = 120,336.80/x
  3. Step 3: Cross multiply
    209,732x = 289,430.16 × 120,336.80
  4. Step 4: Simplify right side
    209,732x = 34,829,099,277.89
  5. Step 5: Solve for x
    x = 34,829,099,277.89/209,732
  6. Step 6: Final answer
    x = 166,064.78

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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.