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Finding the Fourth Proportional to 76,682.40, 105,819.12 and 43,141.92

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Solution

The fourth proportional to 76,682.40, 105,819.12 and 43,141.92 is: 59,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,682.40 : 105,819.12 = 43,141.92 : x
  2. Step 2: Convert to fraction form
    76,682.40/105,819.12 = 43,141.92/x
  3. Step 3: Cross multiply
    76,682.40x = 105,819.12 × 43,141.92
  4. Step 4: Simplify right side
    76,682.40x = 4,565,240,009.51
  5. Step 5: Solve for x
    x = 4,565,240,009.51/76,682.40
  6. Step 6: Final answer
    x = 59,534.39

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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.