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Finding the Fourth Proportional to 76,802.66, 115,213.74 and 30,049.46

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Solution

The fourth proportional to 76,802.66, 115,213.74 and 30,049.46 is: 45,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802.66 : 115,213.74 = 30,049.46 : x
  2. Step 2: Convert to fraction form
    76,802.66/115,213.74 = 30,049.46/x
  3. Step 3: Cross multiply
    76,802.66x = 115,213.74 × 30,049.46
  4. Step 4: Simplify right side
    76,802.66x = 3,462,110,671.58
  5. Step 5: Solve for x
    x = 3,462,110,671.58/76,802.66
  6. Step 6: Final answer
    x = 45,078.00

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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.