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Finding the Fourth Proportional to 214,208.76, 321,239.01 and 87,813.12

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Solution

The fourth proportional to 214,208.76, 321,239.01 and 87,813.12 is: 131,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,208.76 : 321,239.01 = 87,813.12 : x
  2. Step 2: Convert to fraction form
    214,208.76/321,239.01 = 87,813.12/x
  3. Step 3: Cross multiply
    214,208.76x = 321,239.01 × 87,813.12
  4. Step 4: Simplify right side
    214,208.76x = 28,208,999,733.81
  5. Step 5: Solve for x
    x = 28,208,999,733.81/214,208.76
  6. Step 6: Final answer
    x = 131,689.29

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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.