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Finding the Fourth Proportional to 102,153.60, 152,902.08 and 54,650.16

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Solution

The fourth proportional to 102,153.60, 152,902.08 and 54,650.16 is: 81,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,153.60 : 152,902.08 = 54,650.16 : x
  2. Step 2: Convert to fraction form
    102,153.60/152,902.08 = 54,650.16/x
  3. Step 3: Cross multiply
    102,153.60x = 152,902.08 × 54,650.16
  4. Step 4: Simplify right side
    102,153.60x = 8,356,123,136.33
  5. Step 5: Solve for x
    x = 8,356,123,136.33/102,153.60
  6. Step 6: Final answer
    x = 81,799.60

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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.