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Finding the Fourth Proportional to 213,807.68, 320,720.16 and 95,456.96

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Solution

The fourth proportional to 213,807.68, 320,720.16 and 95,456.96 is: 143,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,807.68 : 320,720.16 = 95,456.96 : x
  2. Step 2: Convert to fraction form
    213,807.68/320,720.16 = 95,456.96/x
  3. Step 3: Cross multiply
    213,807.68x = 320,720.16 × 95,456.96
  4. Step 4: Simplify right side
    213,807.68x = 30,614,971,484.31
  5. Step 5: Solve for x
    x = 30,614,971,484.31/213,807.68
  6. Step 6: Final answer
    x = 143,189.30

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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.