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Finding the Fourth Proportional to 252,636.98, 378,626.40 and 102,702.33

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Solution

The fourth proportional to 252,636.98, 378,626.40 and 102,702.33 is: 153,919.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,636.98 : 378,626.40 = 102,702.33 : x
  2. Step 2: Convert to fraction form
    252,636.98/378,626.40 = 102,702.33/x
  3. Step 3: Cross multiply
    252,636.98x = 378,626.40 × 102,702.33
  4. Step 4: Simplify right side
    252,636.98x = 38,885,813,479.51
  5. Step 5: Solve for x
    x = 38,885,813,479.51/252,636.98
  6. Step 6: Final answer
    x = 153,919.72

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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.