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Finding the Fourth Proportional to 140,602.10, 210,575.10 and 137,783.30

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Solution

The fourth proportional to 140,602.10, 210,575.10 and 137,783.30 is: 206,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,602.10 : 210,575.10 = 137,783.30 : x
  2. Step 2: Convert to fraction form
    140,602.10/210,575.10 = 137,783.30/x
  3. Step 3: Cross multiply
    140,602.10x = 210,575.10 × 137,783.30
  4. Step 4: Simplify right side
    140,602.10x = 29,013,732,175.83
  5. Step 5: Solve for x
    x = 29,013,732,175.83/140,602.10
  6. Step 6: Final answer
    x = 206,353.48

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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.