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Finding the Fourth Proportional to 140,018.82, 210,080.10 and 65,179.14

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Solution

The fourth proportional to 140,018.82, 210,080.10 and 65,179.14 is: 97,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,018.82 : 210,080.10 = 65,179.14 : x
  2. Step 2: Convert to fraction form
    140,018.82/210,080.10 = 65,179.14/x
  3. Step 3: Cross multiply
    140,018.82x = 210,080.10 × 65,179.14
  4. Step 4: Simplify right side
    140,018.82x = 13,692,840,249.11
  5. Step 5: Solve for x
    x = 13,692,840,249.11/140,018.82
  6. Step 6: Final answer
    x = 97,792.86

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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.