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Finding the Fourth Proportional to 83,131.96, 114,681.00 and 49,123.99

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Solution

The fourth proportional to 83,131.96, 114,681.00 and 49,123.99 is: 67,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,131.96 : 114,681.00 = 49,123.99 : x
  2. Step 2: Convert to fraction form
    83,131.96/114,681.00 = 49,123.99/x
  3. Step 3: Cross multiply
    83,131.96x = 114,681.00 × 49,123.99
  4. Step 4: Simplify right side
    83,131.96x = 5,633,588,348.43
  5. Step 5: Solve for x
    x = 5,633,588,348.43/83,131.96
  6. Step 6: Final answer
    x = 67,766.82

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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.