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Finding the Fourth Proportional to 252,128.80, 378,193.20 and 85,916.80

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Solution

The fourth proportional to 252,128.80, 378,193.20 and 85,916.80 is: 128,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,128.80 : 378,193.20 = 85,916.80 : x
  2. Step 2: Convert to fraction form
    252,128.80/378,193.20 = 85,916.80/x
  3. Step 3: Cross multiply
    252,128.80x = 378,193.20 × 85,916.80
  4. Step 4: Simplify right side
    252,128.80x = 32,493,149,525.76
  5. Step 5: Solve for x
    x = 32,493,149,525.76/252,128.80
  6. Step 6: Final answer
    x = 128,875.20

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1.5x scale

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.