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Finding the Fourth Proportional to 77,378.34, 116,174.42 and 39,969.30

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Solution

The fourth proportional to 77,378.34, 116,174.42 and 39,969.30 is: 60,009.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,378.34 : 116,174.42 = 39,969.30 : x
  2. Step 2: Convert to fraction form
    77,378.34/116,174.42 = 39,969.30/x
  3. Step 3: Cross multiply
    77,378.34x = 116,174.42 × 39,969.30
  4. Step 4: Simplify right side
    77,378.34x = 4,643,410,245.31
  5. Step 5: Solve for x
    x = 4,643,410,245.31/77,378.34
  6. Step 6: Final answer
    x = 60,009.17

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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.