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Finding the Fourth Proportional to 140,468.09, 210,723.08 and 51,714.77

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Solution

The fourth proportional to 140,468.09, 210,723.08 and 51,714.77 is: 77,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,468.09 : 210,723.08 = 51,714.77 : x
  2. Step 2: Convert to fraction form
    140,468.09/210,723.08 = 51,714.77/x
  3. Step 3: Cross multiply
    140,468.09x = 210,723.08 × 51,714.77
  4. Step 4: Simplify right side
    140,468.09x = 10,897,494,303.70
  5. Step 5: Solve for x
    x = 10,897,494,303.70/140,468.09
  6. Step 6: Final answer
    x = 77,579.86

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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.