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Finding the Fourth Proportional to 185,134.95, 277,802.87 and 78,578.82

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Solution

The fourth proportional to 185,134.95, 277,802.87 and 78,578.82 is: 117,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,134.95 : 277,802.87 = 78,578.82 : x
  2. Step 2: Convert to fraction form
    185,134.95/277,802.87 = 78,578.82/x
  3. Step 3: Cross multiply
    185,134.95x = 277,802.87 × 78,578.82
  4. Step 4: Simplify right side
    185,134.95x = 21,829,421,324.32
  5. Step 5: Solve for x
    x = 21,829,421,324.32/185,134.95
  6. Step 6: Final answer
    x = 117,910.86

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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.