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Finding the Fourth Proportional to 76,005, 104,886.90 and 42,471

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Solution

The fourth proportional to 76,005, 104,886.90 and 42,471 is: 58,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,005 : 104,886.90 = 42,471 : x
  2. Step 2: Convert to fraction form
    76,005/104,886.90 = 42,471/x
  3. Step 3: Cross multiply
    76,005x = 104,886.90 × 42,471
  4. Step 4: Simplify right side
    76,005x = 4,454,651,529.90
  5. Step 5: Solve for x
    x = 4,454,651,529.90/76,005
  6. Step 6: Final answer
    x = 58,609.98

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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.