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Finding the Fourth Proportional to 43,809.40, 65,714.10 and 20,438.20

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Solution

The fourth proportional to 43,809.40, 65,714.10 and 20,438.20 is: 30,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,809.40 : 65,714.10 = 20,438.20 : x
  2. Step 2: Convert to fraction form
    43,809.40/65,714.10 = 20,438.20/x
  3. Step 3: Cross multiply
    43,809.40x = 65,714.10 × 20,438.20
  4. Step 4: Simplify right side
    43,809.40x = 1,343,077,918.62
  5. Step 5: Solve for x
    x = 1,343,077,918.62/43,809.40
  6. Step 6: Final answer
    x = 30,657.30

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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.