Home / 78,384.08-117,539-30,375.14

Finding the Fourth Proportional to 78,384.08, 117,539 and 30,375.14

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Solution

The fourth proportional to 78,384.08, 117,539 and 30,375.14 is: 45,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,384.08 : 117,539 = 30,375.14 : x
  2. Step 2: Convert to fraction form
    78,384.08/117,539 = 30,375.14/x
  3. Step 3: Cross multiply
    78,384.08x = 117,539 × 30,375.14
  4. Step 4: Simplify right side
    78,384.08x = 3,570,263,580.46
  5. Step 5: Solve for x
    x = 3,570,263,580.46/78,384.08
  6. Step 6: Final answer
    x = 45,548.33

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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.