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Finding the Fourth Proportional to 209,049.94, 288,508.99 and 117,168.77

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Solution

The fourth proportional to 209,049.94, 288,508.99 and 117,168.77 is: 161,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,049.94 : 288,508.99 = 117,168.77 : x
  2. Step 2: Convert to fraction form
    209,049.94/288,508.99 = 117,168.77/x
  3. Step 3: Cross multiply
    209,049.94x = 288,508.99 × 117,168.77
  4. Step 4: Simplify right side
    209,049.94x = 33,804,242,111.71
  5. Step 5: Solve for x
    x = 33,804,242,111.71/209,049.94
  6. Step 6: Final answer
    x = 161,704.15

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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.