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Finding the Fourth Proportional to 252,065.46, 378,255.80 and 102,305.74

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Solution

The fourth proportional to 252,065.46, 378,255.80 and 102,305.74 is: 153,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,065.46 : 378,255.80 = 102,305.74 : x
  2. Step 2: Convert to fraction form
    252,065.46/378,255.80 = 102,305.74/x
  3. Step 3: Cross multiply
    252,065.46x = 378,255.80 × 102,305.74
  4. Step 4: Simplify right side
    252,065.46x = 38,697,739,528.29
  5. Step 5: Solve for x
    x = 38,697,739,528.29/252,065.46
  6. Step 6: Final answer
    x = 153,522.58

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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.