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Finding the Fourth Proportional to 83,213.40, 124,820.10 and 52,109.40

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Solution

The fourth proportional to 83,213.40, 124,820.10 and 52,109.40 is: 78,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,213.40 : 124,820.10 = 52,109.40 : x
  2. Step 2: Convert to fraction form
    83,213.40/124,820.10 = 52,109.40/x
  3. Step 3: Cross multiply
    83,213.40x = 124,820.10 × 52,109.40
  4. Step 4: Simplify right side
    83,213.40x = 6,504,300,518.94
  5. Step 5: Solve for x
    x = 6,504,300,518.94/83,213.40
  6. Step 6: Final answer
    x = 78,164.10

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1.5x scale

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.