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Finding the Fourth Proportional to 77,378.48, 116,049.25 and 39,919.28

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Solution

The fourth proportional to 77,378.48, 116,049.25 and 39,919.28 is: 59,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,378.48 : 116,049.25 = 39,919.28 : x
  2. Step 2: Convert to fraction form
    77,378.48/116,049.25 = 39,919.28/x
  3. Step 3: Cross multiply
    77,378.48x = 116,049.25 × 39,919.28
  4. Step 4: Simplify right side
    77,378.48x = 4,632,602,504.54
  5. Step 5: Solve for x
    x = 4,632,602,504.54/77,378.48
  6. Step 6: Final answer
    x = 59,869.39

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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.