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Finding the Fourth Proportional to 89,929.20, 134,893.80 and 30,781.80

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Solution

The fourth proportional to 89,929.20, 134,893.80 and 30,781.80 is: 46,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,929.20 : 134,893.80 = 30,781.80 : x
  2. Step 2: Convert to fraction form
    89,929.20/134,893.80 = 30,781.80/x
  3. Step 3: Cross multiply
    89,929.20x = 134,893.80 × 30,781.80
  4. Step 4: Simplify right side
    89,929.20x = 4,152,273,972.84
  5. Step 5: Solve for x
    x = 4,152,273,972.84/89,929.20
  6. Step 6: Final answer
    x = 46,172.70

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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.