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Finding the Fourth Proportional to 54,188.99, 81,178.31 and 39,931.59

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Solution

The fourth proportional to 54,188.99, 81,178.31 and 39,931.59 is: 59,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,188.99 : 81,178.31 = 39,931.59 : x
  2. Step 2: Convert to fraction form
    54,188.99/81,178.31 = 39,931.59/x
  3. Step 3: Cross multiply
    54,188.99x = 81,178.31 × 39,931.59
  4. Step 4: Simplify right side
    54,188.99x = 3,241,578,991.81
  5. Step 5: Solve for x
    x = 3,241,578,991.81/54,188.99
  6. Step 6: Final answer
    x = 59,819.89

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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.