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Finding the Fourth Proportional to 77,970.94, 107,601.84 and 47,772.90

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Solution

The fourth proportional to 77,970.94, 107,601.84 and 47,772.90 is: 65,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,970.94 : 107,601.84 = 47,772.90 : x
  2. Step 2: Convert to fraction form
    77,970.94/107,601.84 = 47,772.90/x
  3. Step 3: Cross multiply
    77,970.94x = 107,601.84 × 47,772.90
  4. Step 4: Simplify right side
    77,970.94x = 5,140,451,942.14
  5. Step 5: Solve for x
    x = 5,140,451,942.14/77,970.94
  6. Step 6: Final answer
    x = 65,927.79

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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.