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Finding the Fourth Proportional to 209,557.76, 289,184.64 and 120,128

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Solution

The fourth proportional to 209,557.76, 289,184.64 and 120,128 is: 165,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,557.76 : 289,184.64 = 120,128 : x
  2. Step 2: Convert to fraction form
    209,557.76/289,184.64 = 120,128/x
  3. Step 3: Cross multiply
    209,557.76x = 289,184.64 × 120,128
  4. Step 4: Simplify right side
    209,557.76x = 34,739,172,433.92
  5. Step 5: Solve for x
    x = 34,739,172,433.92/209,557.76
  6. Step 6: Final answer
    x = 165,773.73

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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.