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Finding the Fourth Proportional to 140,844.64, 211,262.64 and 57,676

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Solution

The fourth proportional to 140,844.64, 211,262.64 and 57,676 is: 86,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,844.64 : 211,262.64 = 57,676 : x
  2. Step 2: Convert to fraction form
    140,844.64/211,262.64 = 57,676/x
  3. Step 3: Cross multiply
    140,844.64x = 211,262.64 × 57,676
  4. Step 4: Simplify right side
    140,844.64x = 12,184,784,024.64
  5. Step 5: Solve for x
    x = 12,184,784,024.64/140,844.64
  6. Step 6: Final answer
    x = 86,512.23

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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.