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Finding the Fourth Proportional to 77,903.92, 107,515.44 and 47,709.28

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Solution

The fourth proportional to 77,903.92, 107,515.44 and 47,709.28 is: 65,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,903.92 : 107,515.44 = 47,709.28 : x
  2. Step 2: Convert to fraction form
    77,903.92/107,515.44 = 47,709.28/x
  3. Step 3: Cross multiply
    77,903.92x = 107,515.44 × 47,709.28
  4. Step 4: Simplify right side
    77,903.92x = 5,129,484,231.28
  5. Step 5: Solve for x
    x = 5,129,484,231.28/77,903.92
  6. Step 6: Final answer
    x = 65,843.72

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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.