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Finding the Fourth Proportional to 185,436, 278,200.62 and 85,666.74

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Solution

The fourth proportional to 185,436, 278,200.62 and 85,666.74 is: 128,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,436 : 278,200.62 = 85,666.74 : x
  2. Step 2: Convert to fraction form
    185,436/278,200.62 = 85,666.74/x
  3. Step 3: Cross multiply
    185,436x = 278,200.62 × 85,666.74
  4. Step 4: Simplify right side
    185,436x = 23,832,540,181.38
  5. Step 5: Solve for x
    x = 23,832,540,181.38/185,436
  6. Step 6: Final answer
    x = 128,521.65

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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.