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Finding the Fourth Proportional to 76,730.72, 115,065.84 and 37,276.16

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Solution

The fourth proportional to 76,730.72, 115,065.84 and 37,276.16 is: 55,899.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,730.72 : 115,065.84 = 37,276.16 : x
  2. Step 2: Convert to fraction form
    76,730.72/115,065.84 = 37,276.16/x
  3. Step 3: Cross multiply
    76,730.72x = 115,065.84 × 37,276.16
  4. Step 4: Simplify right side
    76,730.72x = 4,289,212,662.37
  5. Step 5: Solve for x
    x = 4,289,212,662.37/76,730.72
  6. Step 6: Final answer
    x = 55,899.55

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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.