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Finding the Fourth Proportional to 252,638.60, 378,875.79 and 84,113.64

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Solution

The fourth proportional to 252,638.60, 378,875.79 and 84,113.64 is: 126,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,638.60 : 378,875.79 = 84,113.64 : x
  2. Step 2: Convert to fraction form
    252,638.60/378,875.79 = 84,113.64/x
  3. Step 3: Cross multiply
    252,638.60x = 378,875.79 × 84,113.64
  4. Step 4: Simplify right side
    252,638.60x = 31,868,621,804.78
  5. Step 5: Solve for x
    x = 31,868,621,804.78/252,638.60
  6. Step 6: Final answer
    x = 126,143.12

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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.