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Finding the Fourth Proportional to 76,504.62, 105,572.90 and 42,512.94

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Solution

The fourth proportional to 76,504.62, 105,572.90 and 42,512.94 is: 58,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,504.62 : 105,572.90 = 42,512.94 : x
  2. Step 2: Convert to fraction form
    76,504.62/105,572.90 = 42,512.94/x
  3. Step 3: Cross multiply
    76,504.62x = 105,572.90 × 42,512.94
  4. Step 4: Simplify right side
    76,504.62x = 4,488,214,363.33
  5. Step 5: Solve for x
    x = 4,488,214,363.33/76,504.62
  6. Step 6: Final answer
    x = 58,665.93

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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.