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Finding the Fourth Proportional to 209,605, 289,276.77 and 118,985.44

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Solution

The fourth proportional to 209,605, 289,276.77 and 118,985.44 is: 164,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,605 : 289,276.77 = 118,985.44 : x
  2. Step 2: Convert to fraction form
    209,605/289,276.77 = 118,985.44/x
  3. Step 3: Cross multiply
    209,605x = 289,276.77 × 118,985.44
  4. Step 4: Simplify right side
    209,605x = 34,419,723,760.23
  5. Step 5: Solve for x
    x = 34,419,723,760.23/209,605
  6. Step 6: Final answer
    x = 164,212.32

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1.5x scale

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.