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Finding the Fourth Proportional to 185,285.51, 277,873.13 and 78,667.89

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Solution

The fourth proportional to 185,285.51, 277,873.13 and 78,667.89 is: 117,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,285.51 : 277,873.13 = 78,667.89 : x
  2. Step 2: Convert to fraction form
    185,285.51/277,873.13 = 78,667.89/x
  3. Step 3: Cross multiply
    185,285.51x = 277,873.13 × 78,667.89
  4. Step 4: Simplify right side
    185,285.51x = 21,859,693,021.47
  5. Step 5: Solve for x
    x = 21,859,693,021.47/185,285.51
  6. Step 6: Final answer
    x = 117,978.43

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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.