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Finding the Fourth Proportional to 209,786.80, 314,555.72 and 83,359.21

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Solution

The fourth proportional to 209,786.80, 314,555.72 and 83,359.21 is: 124,989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,786.80 : 314,555.72 = 83,359.21 : x
  2. Step 2: Convert to fraction form
    209,786.80/314,555.72 = 83,359.21/x
  3. Step 3: Cross multiply
    209,786.80x = 314,555.72 × 83,359.21
  4. Step 4: Simplify right side
    209,786.80x = 26,221,116,320.18
  5. Step 5: Solve for x
    x = 26,221,116,320.18/209,786.80
  6. Step 6: Final answer
    x = 124,989.35

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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.