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Finding the Fourth Proportional to 78,016.50, 107,664.39 and 46,173.78

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Solution

The fourth proportional to 78,016.50, 107,664.39 and 46,173.78 is: 63,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,016.50 : 107,664.39 = 46,173.78 : x
  2. Step 2: Convert to fraction form
    78,016.50/107,664.39 = 46,173.78/x
  3. Step 3: Cross multiply
    78,016.50x = 107,664.39 × 46,173.78
  4. Step 4: Simplify right side
    78,016.50x = 4,971,271,857.69
  5. Step 5: Solve for x
    x = 4,971,271,857.69/78,016.50
  6. Step 6: Final answer
    x = 63,720.78

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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.