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Finding the Fourth Proportional to 209,786.76, 314,398.44 and 103,007.70

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Solution

The fourth proportional to 209,786.76, 314,398.44 and 103,007.70 is: 154,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,786.76 : 314,398.44 = 103,007.70 : x
  2. Step 2: Convert to fraction form
    209,786.76/314,398.44 = 103,007.70/x
  3. Step 3: Cross multiply
    209,786.76x = 314,398.44 × 103,007.70
  4. Step 4: Simplify right side
    209,786.76x = 32,385,460,187.99
  5. Step 5: Solve for x
    x = 32,385,460,187.99/209,786.76
  6. Step 6: Final answer
    x = 154,373.23

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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.