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Finding the Fourth Proportional to 68,456.60, 102,749.70 and 42,212.60

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Solution

The fourth proportional to 68,456.60, 102,749.70 and 42,212.60 is: 63,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,456.60 : 102,749.70 = 42,212.60 : x
  2. Step 2: Convert to fraction form
    68,456.60/102,749.70 = 42,212.60/x
  3. Step 3: Cross multiply
    68,456.60x = 102,749.70 × 42,212.60
  4. Step 4: Simplify right side
    68,456.60x = 4,337,331,986.22
  5. Step 5: Solve for x
    x = 4,337,331,986.22/68,456.60
  6. Step 6: Final answer
    x = 63,358.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.