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Finding the Fourth Proportional to 209,649.84, 289,278.34 and 123,635.80

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Solution

The fourth proportional to 209,649.84, 289,278.34 and 123,635.80 is: 170,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,649.84 : 289,278.34 = 123,635.80 : x
  2. Step 2: Convert to fraction form
    209,649.84/289,278.34 = 123,635.80/x
  3. Step 3: Cross multiply
    209,649.84x = 289,278.34 × 123,635.80
  4. Step 4: Simplify right side
    209,649.84x = 35,765,159,041.08
  5. Step 5: Solve for x
    x = 35,765,159,041.08/209,649.84
  6. Step 6: Final answer
    x = 170,594.74

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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.