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Finding the Fourth Proportional to 140,026.98, 209,978.64 and 40,164.51

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Solution

The fourth proportional to 140,026.98, 209,978.64 and 40,164.51 is: 60,229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,026.98 : 209,978.64 = 40,164.51 : x
  2. Step 2: Convert to fraction form
    140,026.98/209,978.64 = 40,164.51/x
  3. Step 3: Cross multiply
    140,026.98x = 209,978.64 × 40,164.51
  4. Step 4: Simplify right side
    140,026.98x = 8,433,689,186.07
  5. Step 5: Solve for x
    x = 8,433,689,186.07/140,026.98
  6. Step 6: Final answer
    x = 60,229.03

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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.