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Finding the Fourth Proportional to 209,450, 289,038.76 and 124,565.20

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Solution

The fourth proportional to 209,450, 289,038.76 and 124,565.20 is: 171,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,450 : 289,038.76 = 124,565.20 : x
  2. Step 2: Convert to fraction form
    209,450/289,038.76 = 124,565.20/x
  3. Step 3: Cross multiply
    209,450x = 289,038.76 × 124,565.20
  4. Step 4: Simplify right side
    209,450x = 36,004,170,947.15
  5. Step 5: Solve for x
    x = 36,004,170,947.15/209,450
  6. Step 6: Final answer
    x = 171,898.64

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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.