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Finding the Fourth Proportional to 85,504.51, 117,993.81 and 47,778.76

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Solution

The fourth proportional to 85,504.51, 117,993.81 and 47,778.76 is: 65,933.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,504.51 : 117,993.81 = 47,778.76 : x
  2. Step 2: Convert to fraction form
    85,504.51/117,993.81 = 47,778.76/x
  3. Step 3: Cross multiply
    85,504.51x = 117,993.81 × 47,778.76
  4. Step 4: Simplify right side
    85,504.51x = 5,637,597,929.48
  5. Step 5: Solve for x
    x = 5,637,597,929.48/85,504.51
  6. Step 6: Final answer
    x = 65,933.34

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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.