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Finding the Fourth Proportional to 209,323.52, 313,868.64 and 69,044.48

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Solution

The fourth proportional to 209,323.52, 313,868.64 and 69,044.48 is: 103,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,323.52 : 313,868.64 = 69,044.48 : x
  2. Step 2: Convert to fraction form
    209,323.52/313,868.64 = 69,044.48/x
  3. Step 3: Cross multiply
    209,323.52x = 313,868.64 × 69,044.48
  4. Step 4: Simplify right side
    209,323.52x = 21,670,897,037.11
  5. Step 5: Solve for x
    x = 21,670,897,037.11/209,323.52
  6. Step 6: Final answer
    x = 103,528.25

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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.