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Finding the Fourth Proportional to 209,603.80, 314,308.86 and 67,422.70

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Solution

The fourth proportional to 209,603.80, 314,308.86 and 67,422.70 is: 101,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,603.80 : 314,308.86 = 67,422.70 : x
  2. Step 2: Convert to fraction form
    209,603.80/314,308.86 = 67,422.70/x
  3. Step 3: Cross multiply
    209,603.80x = 314,308.86 × 67,422.70
  4. Step 4: Simplify right side
    209,603.80x = 21,191,551,975.12
  5. Step 5: Solve for x
    x = 21,191,551,975.12/209,603.80
  6. Step 6: Final answer
    x = 101,102.90

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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.