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Finding the Fourth Proportional to 78,149.83, 116,889.84 and 72,477.31

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Solution

The fourth proportional to 78,149.83, 116,889.84 and 72,477.31 is: 108,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,149.83 : 116,889.84 = 72,477.31 : x
  2. Step 2: Convert to fraction form
    78,149.83/116,889.84 = 72,477.31/x
  3. Step 3: Cross multiply
    78,149.83x = 116,889.84 × 72,477.31
  4. Step 4: Simplify right side
    78,149.83x = 8,471,861,169.53
  5. Step 5: Solve for x
    x = 8,471,861,169.53/78,149.83
  6. Step 6: Final answer
    x = 108,405.37

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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.