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Finding the Fourth Proportional to 123,415.92, 185,054.04 and 39,160.08

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Solution

The fourth proportional to 123,415.92, 185,054.04 and 39,160.08 is: 58,717.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,415.92 : 185,054.04 = 39,160.08 : x
  2. Step 2: Convert to fraction form
    123,415.92/185,054.04 = 39,160.08/x
  3. Step 3: Cross multiply
    123,415.92x = 185,054.04 × 39,160.08
  4. Step 4: Simplify right side
    123,415.92x = 7,246,731,010.72
  5. Step 5: Solve for x
    x = 7,246,731,010.72/123,415.92
  6. Step 6: Final answer
    x = 58,717.96

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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.