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Finding the Fourth Proportional to 74,709.60, 111,934.80 and 48,400.80

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Solution

The fourth proportional to 74,709.60, 111,934.80 and 48,400.80 is: 72,517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,709.60 : 111,934.80 = 48,400.80 : x
  2. Step 2: Convert to fraction form
    74,709.60/111,934.80 = 48,400.80/x
  3. Step 3: Cross multiply
    74,709.60x = 111,934.80 × 48,400.80
  4. Step 4: Simplify right side
    74,709.60x = 5,417,733,867.84
  5. Step 5: Solve for x
    x = 5,417,733,867.84/74,709.60
  6. Step 6: Final answer
    x = 72,517.24

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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.