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Finding the Fourth Proportional to 78,575.92, 107,727.72 and 77,154.40

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Solution

The fourth proportional to 78,575.92, 107,727.72 and 77,154.40 is: 105,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,575.92 : 107,727.72 = 77,154.40 : x
  2. Step 2: Convert to fraction form
    78,575.92/107,727.72 = 77,154.40/x
  3. Step 3: Cross multiply
    78,575.92x = 107,727.72 × 77,154.40
  4. Step 4: Simplify right side
    78,575.92x = 8,311,667,599.97
  5. Step 5: Solve for x
    x = 8,311,667,599.97/78,575.92
  6. Step 6: Final answer
    x = 105,778.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.