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Finding the Fourth Proportional to 72,646.10, 100,241.24 and 40,378.53

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Solution

The fourth proportional to 72,646.10, 100,241.24 and 40,378.53 is: 55,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,646.10 : 100,241.24 = 40,378.53 : x
  2. Step 2: Convert to fraction form
    72,646.10/100,241.24 = 40,378.53/x
  3. Step 3: Cross multiply
    72,646.10x = 100,241.24 × 40,378.53
  4. Step 4: Simplify right side
    72,646.10x = 4,047,593,714.68
  5. Step 5: Solve for x
    x = 4,047,593,714.68/72,646.10
  6. Step 6: Final answer
    x = 55,716.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.