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Finding the Fourth Proportional to 51,713.84, 71,372.79 and 31,582.40

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Solution

The fourth proportional to 51,713.84, 71,372.79 and 31,582.40 is: 43,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,713.84 : 71,372.79 = 31,582.40 : x
  2. Step 2: Convert to fraction form
    51,713.84/71,372.79 = 31,582.40/x
  3. Step 3: Cross multiply
    51,713.84x = 71,372.79 × 31,582.40
  4. Step 4: Simplify right side
    51,713.84x = 2,254,123,646.03
  5. Step 5: Solve for x
    x = 2,254,123,646.03/51,713.84
  6. Step 6: Final answer
    x = 43,588.41

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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.