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Finding the Fourth Proportional to 76,682.65, 105,819.47 and 43,142.17

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Solution

The fourth proportional to 76,682.65, 105,819.47 and 43,142.17 is: 59,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,682.65 : 105,819.47 = 43,142.17 : x
  2. Step 2: Convert to fraction form
    76,682.65/105,819.47 = 43,142.17/x
  3. Step 3: Cross multiply
    76,682.65x = 105,819.47 × 43,142.17
  4. Step 4: Simplify right side
    76,682.65x = 4,565,281,348.34
  5. Step 5: Solve for x
    x = 4,565,281,348.34/76,682.65
  6. Step 6: Final answer
    x = 59,534.74

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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.