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Finding the Fourth Proportional to 76,102.85, 105,014.95 and 43,828.88

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Solution

The fourth proportional to 76,102.85, 105,014.95 and 43,828.88 is: 60,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102.85 : 105,014.95 = 43,828.88 : x
  2. Step 2: Convert to fraction form
    76,102.85/105,014.95 = 43,828.88/x
  3. Step 3: Cross multiply
    76,102.85x = 105,014.95 × 43,828.88
  4. Step 4: Simplify right side
    76,102.85x = 4,602,687,007.11
  5. Step 5: Solve for x
    x = 4,602,687,007.11/76,102.85
  6. Step 6: Final answer
    x = 60,479.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.