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Finding the Fourth Proportional to 252,384.51, 378,202.77 and 102,442.35

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Solution

The fourth proportional to 252,384.51, 378,202.77 and 102,442.35 is: 153,511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,384.51 : 378,202.77 = 102,442.35 : x
  2. Step 2: Convert to fraction form
    252,384.51/378,202.77 = 102,442.35/x
  3. Step 3: Cross multiply
    252,384.51x = 378,202.77 × 102,442.35
  4. Step 4: Simplify right side
    252,384.51x = 38,743,980,535.31
  5. Step 5: Solve for x
    x = 38,743,980,535.31/252,384.51
  6. Step 6: Final answer
    x = 153,511.72

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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.