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Finding the Fourth Proportional to 209,322.30, 313,939.50 and 69,048.06

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Solution

The fourth proportional to 209,322.30, 313,939.50 and 69,048.06 is: 103,557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,322.30 : 313,939.50 = 69,048.06 : x
  2. Step 2: Convert to fraction form
    209,322.30/313,939.50 = 69,048.06/x
  3. Step 3: Cross multiply
    209,322.30x = 313,939.50 × 69,048.06
  4. Step 4: Simplify right side
    209,322.30x = 21,676,913,432.37
  5. Step 5: Solve for x
    x = 21,676,913,432.37/209,322.30
  6. Step 6: Final answer
    x = 103,557.59

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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.