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Finding the Fourth Proportional to 43,406.40, 65,109.60 and 31,742.40

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Solution

The fourth proportional to 43,406.40, 65,109.60 and 31,742.40 is: 47,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,406.40 : 65,109.60 = 31,742.40 : x
  2. Step 2: Convert to fraction form
    43,406.40/65,109.60 = 31,742.40/x
  3. Step 3: Cross multiply
    43,406.40x = 65,109.60 × 31,742.40
  4. Step 4: Simplify right side
    43,406.40x = 2,066,734,967.04
  5. Step 5: Solve for x
    x = 2,066,734,967.04/43,406.40
  6. Step 6: Final answer
    x = 47,613.60

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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.