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Finding the Fourth Proportional to 78,016.51, 107,661.74 and 43,561.78

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Solution

The fourth proportional to 78,016.51, 107,661.74 and 43,561.78 is: 60,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,016.51 : 107,661.74 = 43,561.78 : x
  2. Step 2: Convert to fraction form
    78,016.51/107,661.74 = 43,561.78/x
  3. Step 3: Cross multiply
    78,016.51x = 107,661.74 × 43,561.78
  4. Step 4: Simplify right side
    78,016.51x = 4,689,936,545.33
  5. Step 5: Solve for x
    x = 4,689,936,545.33/78,016.51
  6. Step 6: Final answer
    x = 60,114.67

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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.