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Finding the Fourth Proportional to 209,788.92, 289,364.40 and 134,303.40

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Solution

The fourth proportional to 209,788.92, 289,364.40 and 134,303.40 is: 185,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,788.92 : 289,364.40 = 134,303.40 : x
  2. Step 2: Convert to fraction form
    209,788.92/289,364.40 = 134,303.40/x
  3. Step 3: Cross multiply
    209,788.92x = 289,364.40 × 134,303.40
  4. Step 4: Simplify right side
    209,788.92x = 38,862,622,758.96
  5. Step 5: Solve for x
    x = 38,862,622,758.96/209,788.92
  6. Step 6: Final answer
    x = 185,246.31

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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.