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Finding the Fourth Proportional to 209,497.65, 289,137.90 and 123,429.12

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Solution

The fourth proportional to 209,497.65, 289,137.90 and 123,429.12 is: 170,350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,497.65 : 289,137.90 = 123,429.12 : x
  2. Step 2: Convert to fraction form
    209,497.65/289,137.90 = 123,429.12/x
  3. Step 3: Cross multiply
    209,497.65x = 289,137.90 × 123,429.12
  4. Step 4: Simplify right side
    209,497.65x = 35,688,035,239.95
  5. Step 5: Solve for x
    x = 35,688,035,239.95/209,497.65
  6. Step 6: Final answer
    x = 170,350.53

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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.