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Finding the Fourth Proportional to 252,088, 378,193.44 and 76,984

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Solution

The fourth proportional to 252,088, 378,193.44 and 76,984 is: 115,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,088 : 378,193.44 = 76,984 : x
  2. Step 2: Convert to fraction form
    252,088/378,193.44 = 76,984/x
  3. Step 3: Cross multiply
    252,088x = 378,193.44 × 76,984
  4. Step 4: Simplify right side
    252,088x = 29,114,843,784.96
  5. Step 5: Solve for x
    x = 29,114,843,784.96/252,088
  6. Step 6: Final answer
    x = 115,494.76

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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.