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Finding the Fourth Proportional to 209,691.30, 289,364.10 and 119,035.29

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Solution

The fourth proportional to 209,691.30, 289,364.10 and 119,035.29 is: 164,263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,691.30 : 289,364.10 = 119,035.29 : x
  2. Step 2: Convert to fraction form
    209,691.30/289,364.10 = 119,035.29/x
  3. Step 3: Cross multiply
    209,691.30x = 289,364.10 × 119,035.29
  4. Step 4: Simplify right side
    209,691.30x = 34,444,539,559.09
  5. Step 5: Solve for x
    x = 34,444,539,559.09/209,691.30
  6. Step 6: Final answer
    x = 164,263.08

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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.