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Finding the Fourth Proportional to 210,221.80, 314,814.30 and 139,719.40

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Solution

The fourth proportional to 210,221.80, 314,814.30 and 139,719.40 is: 209,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,221.80 : 314,814.30 = 139,719.40 : x
  2. Step 2: Convert to fraction form
    210,221.80/314,814.30 = 139,719.40/x
  3. Step 3: Cross multiply
    210,221.80x = 314,814.30 × 139,719.40
  4. Step 4: Simplify right side
    210,221.80x = 43,985,665,107.42
  5. Step 5: Solve for x
    x = 43,985,665,107.42/210,221.80
  6. Step 6: Final answer
    x = 209,234.56

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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.