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Finding the Fourth Proportional to 57,245.63, 85,909.44 and 42,409.86

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Solution

The fourth proportional to 57,245.63, 85,909.44 and 42,409.86 is: 63,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,245.63 : 85,909.44 = 42,409.86 : x
  2. Step 2: Convert to fraction form
    57,245.63/85,909.44 = 42,409.86/x
  3. Step 3: Cross multiply
    57,245.63x = 85,909.44 × 42,409.86
  4. Step 4: Simplify right side
    57,245.63x = 3,643,407,323.08
  5. Step 5: Solve for x
    x = 3,643,407,323.08/57,245.63
  6. Step 6: Final answer
    x = 63,645.17

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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.