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Finding the Fourth Proportional to 252,104.58, 378,215.61 and 83,612.58

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Solution

The fourth proportional to 252,104.58, 378,215.61 and 83,612.58 is: 125,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,104.58 : 378,215.61 = 83,612.58 : x
  2. Step 2: Convert to fraction form
    252,104.58/378,215.61 = 83,612.58/x
  3. Step 3: Cross multiply
    252,104.58x = 378,215.61 × 83,612.58
  4. Step 4: Simplify right side
    252,104.58x = 31,623,582,948.37
  5. Step 5: Solve for x
    x = 31,623,582,948.37/252,104.58
  6. Step 6: Final answer
    x = 125,438.35

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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.