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Finding the Fourth Proportional to 102,838, 154,269.24 and 36,264.32

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Solution

The fourth proportional to 102,838, 154,269.24 and 36,264.32 is: 54,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,838 : 154,269.24 = 36,264.32 : x
  2. Step 2: Convert to fraction form
    102,838/154,269.24 = 36,264.32/x
  3. Step 3: Cross multiply
    102,838x = 154,269.24 × 36,264.32
  4. Step 4: Simplify right side
    102,838x = 5,594,469,085.52
  5. Step 5: Solve for x
    x = 5,594,469,085.52/102,838
  6. Step 6: Final answer
    x = 54,400.80

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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.