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Finding the Fourth Proportional to 139,824, 209,684.88 and 51,051.24

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Solution

The fourth proportional to 139,824, 209,684.88 and 51,051.24 is: 76,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,824 : 209,684.88 = 51,051.24 : x
  2. Step 2: Convert to fraction form
    139,824/209,684.88 = 51,051.24/x
  3. Step 3: Cross multiply
    139,824x = 209,684.88 × 51,051.24
  4. Step 4: Simplify right side
    139,824x = 10,704,673,133.25
  5. Step 5: Solve for x
    x = 10,704,673,133.25/139,824
  6. Step 6: Final answer
    x = 76,558.20

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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.