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Finding the Fourth Proportional to 209,892.29, 289,651.46 and 119,248.40

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Solution

The fourth proportional to 209,892.29, 289,651.46 and 119,248.40 is: 164,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,892.29 : 289,651.46 = 119,248.40 : x
  2. Step 2: Convert to fraction form
    209,892.29/289,651.46 = 119,248.40/x
  3. Step 3: Cross multiply
    209,892.29x = 289,651.46 × 119,248.40
  4. Step 4: Simplify right side
    209,892.29x = 34,540,473,290.55
  5. Step 5: Solve for x
    x = 34,540,473,290.55/209,892.29
  6. Step 6: Final answer
    x = 164,562.85

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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.