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Finding the Fourth Proportional to 140,548.44, 210,842.10 and 57,423

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Solution

The fourth proportional to 140,548.44, 210,842.10 and 57,423 is: 86,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,548.44 : 210,842.10 = 57,423 : x
  2. Step 2: Convert to fraction form
    140,548.44/210,842.10 = 57,423/x
  3. Step 3: Cross multiply
    140,548.44x = 210,842.10 × 57,423
  4. Step 4: Simplify right side
    140,548.44x = 12,107,185,908.30
  5. Step 5: Solve for x
    x = 12,107,185,908.30/140,548.44
  6. Step 6: Final answer
    x = 86,142.44

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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.