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Finding the Fourth Proportional to 76,471.20, 114,739.20 and 48,412.80

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Solution

The fourth proportional to 76,471.20, 114,739.20 and 48,412.80 is: 72,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.20 : 114,739.20 = 48,412.80 : x
  2. Step 2: Convert to fraction form
    76,471.20/114,739.20 = 48,412.80/x
  3. Step 3: Cross multiply
    76,471.20x = 114,739.20 × 48,412.80
  4. Step 4: Simplify right side
    76,471.20x = 5,554,845,941.76
  5. Step 5: Solve for x
    x = 5,554,845,941.76/76,471.20
  6. Step 6: Final answer
    x = 72,639.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.