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Finding the Fourth Proportional to 76,858.90, 106,063.17 and 42,868.42

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Solution

The fourth proportional to 76,858.90, 106,063.17 and 42,868.42 is: 59,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,858.90 : 106,063.17 = 42,868.42 : x
  2. Step 2: Convert to fraction form
    76,858.90/106,063.17 = 42,868.42/x
  3. Step 3: Cross multiply
    76,858.90x = 106,063.17 × 42,868.42
  4. Step 4: Simplify right side
    76,858.90x = 4,546,760,518.09
  5. Step 5: Solve for x
    x = 4,546,760,518.09/76,858.90
  6. Step 6: Final answer
    x = 59,157.24

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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.