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Finding the Fourth Proportional to 185,144, 277,658.40 and 66,799.84

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Solution

The fourth proportional to 185,144, 277,658.40 and 66,799.84 is: 100,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,144 : 277,658.40 = 66,799.84 : x
  2. Step 2: Convert to fraction form
    185,144/277,658.40 = 66,799.84/x
  3. Step 3: Cross multiply
    185,144x = 277,658.40 × 66,799.84
  4. Step 4: Simplify right side
    185,144x = 18,547,536,694.66
  5. Step 5: Solve for x
    x = 18,547,536,694.66/185,144
  6. Step 6: Final answer
    x = 100,178.98

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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.