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Finding the Fourth Proportional to 209,987.30, 289,775.25 and 119,341.68

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Solution

The fourth proportional to 209,987.30, 289,775.25 and 119,341.68 is: 164,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,987.30 : 289,775.25 = 119,341.68 : x
  2. Step 2: Convert to fraction form
    209,987.30/289,775.25 = 119,341.68/x
  3. Step 3: Cross multiply
    209,987.30x = 289,775.25 × 119,341.68
  4. Step 4: Simplify right side
    209,987.30x = 34,582,265,157.42
  5. Step 5: Solve for x
    x = 34,582,265,157.42/209,987.30
  6. Step 6: Final answer
    x = 164,687.41

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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.