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Finding the Fourth Proportional to 206,259.90, 309,419.52 and 78,223.32

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Solution

The fourth proportional to 206,259.90, 309,419.52 and 78,223.32 is: 117,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,259.90 : 309,419.52 = 78,223.32 : x
  2. Step 2: Convert to fraction form
    206,259.90/309,419.52 = 78,223.32/x
  3. Step 3: Cross multiply
    206,259.90x = 309,419.52 × 78,223.32
  4. Step 4: Simplify right side
    206,259.90x = 24,203,822,127.21
  5. Step 5: Solve for x
    x = 24,203,822,127.21/206,259.90
  6. Step 6: Final answer
    x = 117,346.23

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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.