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Finding the Fourth Proportional to 140,437.37, 210,654 and 45,671.91

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Solution

The fourth proportional to 140,437.37, 210,654 and 45,671.91 is: 68,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,437.37 : 210,654 = 45,671.91 : x
  2. Step 2: Convert to fraction form
    140,437.37/210,654 = 45,671.91/x
  3. Step 3: Cross multiply
    140,437.37x = 210,654 × 45,671.91
  4. Step 4: Simplify right side
    140,437.37x = 9,620,970,529.14
  5. Step 5: Solve for x
    x = 9,620,970,529.14/140,437.37
  6. Step 6: Final answer
    x = 68,507.20

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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.