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Finding the Fourth Proportional to 83,714.40, 125,571.60 and 28,310.40

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Solution

The fourth proportional to 83,714.40, 125,571.60 and 28,310.40 is: 42,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,714.40 : 125,571.60 = 28,310.40 : x
  2. Step 2: Convert to fraction form
    83,714.40/125,571.60 = 28,310.40/x
  3. Step 3: Cross multiply
    83,714.40x = 125,571.60 × 28,310.40
  4. Step 4: Simplify right side
    83,714.40x = 3,554,982,224.64
  5. Step 5: Solve for x
    x = 3,554,982,224.64/83,714.40
  6. Step 6: Final answer
    x = 42,465.60

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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.