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Finding the Fourth Proportional to 140,699.74, 210,973.05 and 50,730.20

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Solution

The fourth proportional to 140,699.74, 210,973.05 and 50,730.20 is: 76,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,699.74 : 210,973.05 = 50,730.20 : x
  2. Step 2: Convert to fraction form
    140,699.74/210,973.05 = 50,730.20/x
  3. Step 3: Cross multiply
    140,699.74x = 210,973.05 × 50,730.20
  4. Step 4: Simplify right side
    140,699.74x = 10,702,705,021.11
  5. Step 5: Solve for x
    x = 10,702,705,021.11/140,699.74
  6. Step 6: Final answer
    x = 76,067.70

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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.