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Finding the Fourth Proportional to 185,130.52, 277,794.48 and 78,530.68

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Solution

The fourth proportional to 185,130.52, 277,794.48 and 78,530.68 is: 117,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,130.52 : 277,794.48 = 78,530.68 : x
  2. Step 2: Convert to fraction form
    185,130.52/277,794.48 = 78,530.68/x
  3. Step 3: Cross multiply
    185,130.52x = 277,794.48 × 78,530.68
  4. Step 4: Simplify right side
    185,130.52x = 21,815,389,414.65
  5. Step 5: Solve for x
    x = 21,815,389,414.65/185,130.52
  6. Step 6: Final answer
    x = 117,837.89

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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.