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Finding the Fourth Proportional to 214,762.76, 322,214.19 and 102,428.37

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Solution

The fourth proportional to 214,762.76, 322,214.19 and 102,428.37 is: 153,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,762.76 : 322,214.19 = 102,428.37 : x
  2. Step 2: Convert to fraction form
    214,762.76/322,214.19 = 102,428.37/x
  3. Step 3: Cross multiply
    214,762.76x = 322,214.19 × 102,428.37
  4. Step 4: Simplify right side
    214,762.76x = 33,003,874,272.57
  5. Step 5: Solve for x
    x = 33,003,874,272.57/214,762.76
  6. Step 6: Final answer
    x = 153,675.97

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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.