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Finding the Fourth Proportional to 187,483, 281,225.50 and 76,675

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Solution

The fourth proportional to 187,483, 281,225.50 and 76,675 is: 115,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,483 : 281,225.50 = 76,675 : x
  2. Step 2: Convert to fraction form
    187,483/281,225.50 = 76,675/x
  3. Step 3: Cross multiply
    187,483x = 281,225.50 × 76,675
  4. Step 4: Simplify right side
    187,483x = 21,562,965,212.50
  5. Step 5: Solve for x
    x = 21,562,965,212.50/187,483
  6. Step 6: Final answer
    x = 115,012.91

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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.