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Finding the Fourth Proportional to 209,813.40, 314,476.02 and 119,919.06

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Solution

The fourth proportional to 209,813.40, 314,476.02 and 119,919.06 is: 179,739.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,813.40 : 314,476.02 = 119,919.06 : x
  2. Step 2: Convert to fraction form
    209,813.40/314,476.02 = 119,919.06/x
  3. Step 3: Cross multiply
    209,813.40x = 314,476.02 × 119,919.06
  4. Step 4: Simplify right side
    209,813.40x = 37,711,668,710.94
  5. Step 5: Solve for x
    x = 37,711,668,710.94/209,813.40
  6. Step 6: Final answer
    x = 179,739.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.