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Finding the Fourth Proportional to 76,458.99, 105,470.87 and 71,046.62

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Solution

The fourth proportional to 76,458.99, 105,470.87 and 71,046.62 is: 98,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,458.99 : 105,470.87 = 71,046.62 : x
  2. Step 2: Convert to fraction form
    76,458.99/105,470.87 = 71,046.62/x
  3. Step 3: Cross multiply
    76,458.99x = 105,470.87 × 71,046.62
  4. Step 4: Simplify right side
    76,458.99x = 7,493,348,834.43
  5. Step 5: Solve for x
    x = 7,493,348,834.43/76,458.99
  6. Step 6: Final answer
    x = 98,004.81

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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.