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Finding the Fourth Proportional to 123,813.79, 185,538.64 and 73,160.75

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Solution

The fourth proportional to 123,813.79, 185,538.64 and 73,160.75 is: 109,633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,813.79 : 185,538.64 = 73,160.75 : x
  2. Step 2: Convert to fraction form
    123,813.79/185,538.64 = 73,160.75/x
  3. Step 3: Cross multiply
    123,813.79x = 185,538.64 × 73,160.75
  4. Step 4: Simplify right side
    123,813.79x = 13,574,146,056.38
  5. Step 5: Solve for x
    x = 13,574,146,056.38/123,813.79
  6. Step 6: Final answer
    x = 109,633.56

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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.