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Finding the Fourth Proportional to 156,120, 234,180 and 57,624

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Solution

The fourth proportional to 156,120, 234,180 and 57,624 is: 86,436

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,120 : 234,180 = 57,624 : x
  2. Step 2: Convert to fraction form
    156,120/234,180 = 57,624/x
  3. Step 3: Cross multiply
    156,120x = 234,180 × 57,624
  4. Step 4: Simplify right side
    156,120x = 13,494,388,320
  5. Step 5: Solve for x
    x = 13,494,388,320/156,120
  6. Step 6: Final answer
    x = 86,436

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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.