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Finding the Fourth Proportional to 78,161, 107,863.46 and 55,842.92

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Solution

The fourth proportional to 78,161, 107,863.46 and 55,842.92 is: 77,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,161 : 107,863.46 = 55,842.92 : x
  2. Step 2: Convert to fraction form
    78,161/107,863.46 = 55,842.92/x
  3. Step 3: Cross multiply
    78,161x = 107,863.46 × 55,842.92
  4. Step 4: Simplify right side
    78,161x = 6,023,410,567.70
  5. Step 5: Solve for x
    x = 6,023,410,567.70/78,161
  6. Step 6: Final answer
    x = 77,064.14

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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.