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Finding the Fourth Proportional to 77,715, 116,609.40 and 33,354.45

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Solution

The fourth proportional to 77,715, 116,609.40 and 33,354.45 is: 50,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,715 : 116,609.40 = 33,354.45 : x
  2. Step 2: Convert to fraction form
    77,715/116,609.40 = 33,354.45/x
  3. Step 3: Cross multiply
    77,715x = 116,609.40 × 33,354.45
  4. Step 4: Simplify right side
    77,715x = 3,889,442,401.83
  5. Step 5: Solve for x
    x = 3,889,442,401.83/77,715
  6. Step 6: Final answer
    x = 50,047.51

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1.5x scale

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.