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Finding the Fourth Proportional to 56,636.40, 78,179.44 and 42,530

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Solution

The fourth proportional to 56,636.40, 78,179.44 and 42,530 is: 58,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,636.40 : 78,179.44 = 42,530 : x
  2. Step 2: Convert to fraction form
    56,636.40/78,179.44 = 42,530/x
  3. Step 3: Cross multiply
    56,636.40x = 78,179.44 × 42,530
  4. Step 4: Simplify right side
    56,636.40x = 3,324,971,583.20
  5. Step 5: Solve for x
    x = 3,324,971,583.20/56,636.40
  6. Step 6: Final answer
    x = 58,707.33

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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.