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Finding the Fourth Proportional to 78,270.77, 107,932.47 and 66,977.64

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Solution

The fourth proportional to 78,270.77, 107,932.47 and 66,977.64 is: 92,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,270.77 : 107,932.47 = 66,977.64 : x
  2. Step 2: Convert to fraction form
    78,270.77/107,932.47 = 66,977.64/x
  3. Step 3: Cross multiply
    78,270.77x = 107,932.47 × 66,977.64
  4. Step 4: Simplify right side
    78,270.77x = 7,229,062,119.97
  5. Step 5: Solve for x
    x = 7,229,062,119.97/78,270.77
  6. Step 6: Final answer
    x = 92,359.67

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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.