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Finding the Fourth Proportional to 209,920.51, 289,679.37 and 119,263.89

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Solution

The fourth proportional to 209,920.51, 289,679.37 and 119,263.89 is: 164,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,920.51 : 289,679.37 = 119,263.89 : x
  2. Step 2: Convert to fraction form
    209,920.51/289,679.37 = 119,263.89/x
  3. Step 3: Cross multiply
    209,920.51x = 289,679.37 × 119,263.89
  4. Step 4: Simplify right side
    209,920.51x = 34,548,288,518.95
  5. Step 5: Solve for x
    x = 34,548,288,518.95/209,920.51
  6. Step 6: Final answer
    x = 164,577.96

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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.