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Finding the Fourth Proportional to 114,153.60, 171,199.68 and 40,272

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Solution

The fourth proportional to 114,153.60, 171,199.68 and 40,272 is: 60,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,153.60 : 171,199.68 = 40,272 : x
  2. Step 2: Convert to fraction form
    114,153.60/171,199.68 = 40,272/x
  3. Step 3: Cross multiply
    114,153.60x = 171,199.68 × 40,272
  4. Step 4: Simplify right side
    114,153.60x = 6,894,553,512.96
  5. Step 5: Solve for x
    x = 6,894,553,512.96/114,153.60
  6. Step 6: Final answer
    x = 60,397.16

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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.