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Finding the Fourth Proportional to 76,309.87, 105,359.78 and 47,673.13

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Solution

The fourth proportional to 76,309.87, 105,359.78 and 47,673.13 is: 65,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,309.87 : 105,359.78 = 47,673.13 : x
  2. Step 2: Convert to fraction form
    76,309.87/105,359.78 = 47,673.13/x
  3. Step 3: Cross multiply
    76,309.87x = 105,359.78 × 47,673.13
  4. Step 4: Simplify right side
    76,309.87x = 5,022,830,488.71
  5. Step 5: Solve for x
    x = 5,022,830,488.71/76,309.87
  6. Step 6: Final answer
    x = 65,821.50

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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.