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Finding the Fourth Proportional to 122,731, 184,098.74 and 38,489.28

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Solution

The fourth proportional to 122,731, 184,098.74 and 38,489.28 is: 57,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,731 : 184,098.74 = 38,489.28 : x
  2. Step 2: Convert to fraction form
    122,731/184,098.74 = 38,489.28/x
  3. Step 3: Cross multiply
    122,731x = 184,098.74 × 38,489.28
  4. Step 4: Simplify right side
    122,731x = 7,085,827,951.51
  5. Step 5: Solve for x
    x = 7,085,827,951.51/122,731
  6. Step 6: Final answer
    x = 57,734.62

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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.