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Finding the Fourth Proportional to 83,503, 115,234.14 and 45,777.52

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Solution

The fourth proportional to 83,503, 115,234.14 and 45,777.52 is: 63,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,503 : 115,234.14 = 45,777.52 : x
  2. Step 2: Convert to fraction form
    83,503/115,234.14 = 45,777.52/x
  3. Step 3: Cross multiply
    83,503x = 115,234.14 × 45,777.52
  4. Step 4: Simplify right side
    83,503x = 5,275,133,148.53
  5. Step 5: Solve for x
    x = 5,275,133,148.53/83,503
  6. Step 6: Final answer
    x = 63,172.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.