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Finding the Fourth Proportional to 117.60, 176.64 and 74.88

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Solution

The fourth proportional to 117.60, 176.64 and 74.88 is: 112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.60 : 176.64 = 74.88 : x
  2. Step 2: Convert to fraction form
    117.60/176.64 = 74.88/x
  3. Step 3: Cross multiply
    117.60x = 176.64 × 74.88
  4. Step 4: Simplify right side
    117.60x = 13,226.80
  5. Step 5: Solve for x
    x = 13,226.80/117.60
  6. Step 6: Final answer
    x = 112.47

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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.