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Finding the Fourth Proportional to 255,110.60, 382,665.90 and 161,721.80

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Solution

The fourth proportional to 255,110.60, 382,665.90 and 161,721.80 is: 242,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,110.60 : 382,665.90 = 161,721.80 : x
  2. Step 2: Convert to fraction form
    255,110.60/382,665.90 = 161,721.80/x
  3. Step 3: Cross multiply
    255,110.60x = 382,665.90 × 161,721.80
  4. Step 4: Simplify right side
    255,110.60x = 61,885,418,146.62
  5. Step 5: Solve for x
    x = 61,885,418,146.62/255,110.60
  6. Step 6: Final answer
    x = 242,582.70

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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.