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Finding the Fourth Proportional to 140,783.81, 211,175.64 and 56,543.94

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Solution

The fourth proportional to 140,783.81, 211,175.64 and 56,543.94 is: 84,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,783.81 : 211,175.64 = 56,543.94 : x
  2. Step 2: Convert to fraction form
    140,783.81/211,175.64 = 56,543.94/x
  3. Step 3: Cross multiply
    140,783.81x = 211,175.64 × 56,543.94
  4. Step 4: Simplify right side
    140,783.81x = 11,940,702,717.62
  5. Step 5: Solve for x
    x = 11,940,702,717.62/140,783.81
  6. Step 6: Final answer
    x = 84,815.88

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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.