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Finding the Fourth Proportional to 76,987.64, 115,437.72 and 30,215

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Solution

The fourth proportional to 76,987.64, 115,437.72 and 30,215 is: 45,305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,987.64 : 115,437.72 = 30,215 : x
  2. Step 2: Convert to fraction form
    76,987.64/115,437.72 = 30,215/x
  3. Step 3: Cross multiply
    76,987.64x = 115,437.72 × 30,215
  4. Step 4: Simplify right side
    76,987.64x = 3,487,950,709.80
  5. Step 5: Solve for x
    x = 3,487,950,709.80/76,987.64
  6. Step 6: Final answer
    x = 45,305.33

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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.