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Finding the Fourth Proportional to 146,691.86, 219,980.39 and 51,885.41

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Solution

The fourth proportional to 146,691.86, 219,980.39 and 51,885.41 is: 77,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,691.86 : 219,980.39 = 51,885.41 : x
  2. Step 2: Convert to fraction form
    146,691.86/219,980.39 = 51,885.41/x
  3. Step 3: Cross multiply
    146,691.86x = 219,980.39 × 51,885.41
  4. Step 4: Simplify right side
    146,691.86x = 11,413,771,367.78
  5. Step 5: Solve for x
    x = 11,413,771,367.78/146,691.86
  6. Step 6: Final answer
    x = 77,807.81

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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.