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Finding the Fourth Proportional to 156.02, 234 and 74.78

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Solution

The fourth proportional to 156.02, 234 and 74.78 is: 112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.02 : 234 = 74.78 : x
  2. Step 2: Convert to fraction form
    156.02/234 = 74.78/x
  3. Step 3: Cross multiply
    156.02x = 234 × 74.78
  4. Step 4: Simplify right side
    156.02x = 17,498.52
  5. Step 5: Solve for x
    x = 17,498.52/156.02
  6. Step 6: Final answer
    x = 112.16

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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.