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Finding the Fourth Proportional to 71,632.63, 107,470.41 and 28,916.07

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Solution

The fourth proportional to 71,632.63, 107,470.41 and 28,916.07 is: 43,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,632.63 : 107,470.41 = 28,916.07 : x
  2. Step 2: Convert to fraction form
    71,632.63/107,470.41 = 28,916.07/x
  3. Step 3: Cross multiply
    71,632.63x = 107,470.41 × 28,916.07
  4. Step 4: Simplify right side
    71,632.63x = 3,107,621,898.49
  5. Step 5: Solve for x
    x = 3,107,621,898.49/71,632.63
  6. Step 6: Final answer
    x = 43,382.77

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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.