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Finding the Fourth Proportional to 117.30, 175.78 and 73.36

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Solution

The fourth proportional to 117.30, 175.78 and 73.36 is: 109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.30 : 175.78 = 73.36 : x
  2. Step 2: Convert to fraction form
    117.30/175.78 = 73.36/x
  3. Step 3: Cross multiply
    117.30x = 175.78 × 73.36
  4. Step 4: Simplify right side
    117.30x = 12,895.22
  5. Step 5: Solve for x
    x = 12,895.22/117.30
  6. Step 6: Final answer
    x = 109.93

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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.