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Finding the Fourth Proportional to 209,483.73, 314,274.81 and 69,242.37

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Solution

The fourth proportional to 209,483.73, 314,274.81 and 69,242.37 is: 103,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,483.73 : 314,274.81 = 69,242.37 : x
  2. Step 2: Convert to fraction form
    209,483.73/314,274.81 = 69,242.37/x
  3. Step 3: Cross multiply
    209,483.73x = 314,274.81 × 69,242.37
  4. Step 4: Simplify right side
    209,483.73x = 21,761,132,675.70
  5. Step 5: Solve for x
    x = 21,761,132,675.70/209,483.73
  6. Step 6: Final answer
    x = 103,879.82

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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.