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Finding the Fourth Proportional to 209,603.54, 314,308.80 and 67,422.56

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Solution

The fourth proportional to 209,603.54, 314,308.80 and 67,422.56 is: 101,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,603.54 : 314,308.80 = 67,422.56 : x
  2. Step 2: Convert to fraction form
    209,603.54/314,308.80 = 67,422.56/x
  3. Step 3: Cross multiply
    209,603.54x = 314,308.80 × 67,422.56
  4. Step 4: Simplify right side
    209,603.54x = 21,191,503,926.53
  5. Step 5: Solve for x
    x = 21,191,503,926.53/209,603.54
  6. Step 6: Final answer
    x = 101,102.80

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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.