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Finding the Fourth Proportional to 209,763.99, 314,642.88 and 51,991.38

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Solution

The fourth proportional to 209,763.99, 314,642.88 and 51,991.38 is: 77,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,763.99 : 314,642.88 = 51,991.38 : x
  2. Step 2: Convert to fraction form
    209,763.99/314,642.88 = 51,991.38/x
  3. Step 3: Cross multiply
    209,763.99x = 314,642.88 × 51,991.38
  4. Step 4: Simplify right side
    209,763.99x = 16,358,717,538.37
  5. Step 5: Solve for x
    x = 16,358,717,538.37/209,763.99
  6. Step 6: Final answer
    x = 77,986.30

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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.