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Finding the Fourth Proportional to 140,291, 210,437.04 and 35,109.68

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Solution

The fourth proportional to 140,291, 210,437.04 and 35,109.68 is: 52,664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,291 : 210,437.04 = 35,109.68 : x
  2. Step 2: Convert to fraction form
    140,291/210,437.04 = 35,109.68/x
  3. Step 3: Cross multiply
    140,291x = 210,437.04 × 35,109.68
  4. Step 4: Simplify right side
    140,291x = 7,388,377,134.55
  5. Step 5: Solve for x
    x = 7,388,377,134.55/140,291
  6. Step 6: Final answer
    x = 52,664.66

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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.