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Finding the Fourth Proportional to 206,648.40, 310,015.80 and 66,421.20

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Solution

The fourth proportional to 206,648.40, 310,015.80 and 66,421.20 is: 99,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,648.40 : 310,015.80 = 66,421.20 : x
  2. Step 2: Convert to fraction form
    206,648.40/310,015.80 = 66,421.20/x
  3. Step 3: Cross multiply
    206,648.40x = 310,015.80 × 66,421.20
  4. Step 4: Simplify right side
    206,648.40x = 20,591,621,454.96
  5. Step 5: Solve for x
    x = 20,591,621,454.96/206,648.40
  6. Step 6: Final answer
    x = 99,645.69

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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.