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Finding the Fourth Proportional to 76,807.94, 114,558.48 and 75,478.73

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Solution

The fourth proportional to 76,807.94, 114,558.48 and 75,478.73 is: 112,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807.94 : 114,558.48 = 75,478.73 : x
  2. Step 2: Convert to fraction form
    76,807.94/114,558.48 = 75,478.73/x
  3. Step 3: Cross multiply
    76,807.94x = 114,558.48 × 75,478.73
  4. Step 4: Simplify right side
    76,807.94x = 8,646,728,008.34
  5. Step 5: Solve for x
    x = 8,646,728,008.34/76,807.94
  6. Step 6: Final answer
    x = 112,575.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.