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Finding the Fourth Proportional to 209,926.40, 289,687.80 and 119,270.48

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Solution

The fourth proportional to 209,926.40, 289,687.80 and 119,270.48 is: 164,587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,926.40 : 289,687.80 = 119,270.48 : x
  2. Step 2: Convert to fraction form
    209,926.40/289,687.80 = 119,270.48/x
  3. Step 3: Cross multiply
    209,926.40x = 289,687.80 × 119,270.48
  4. Step 4: Simplify right side
    209,926.40x = 34,551,202,956.14
  5. Step 5: Solve for x
    x = 34,551,202,956.14/209,926.40
  6. Step 6: Final answer
    x = 164,587.22

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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.