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Finding the Fourth Proportional to 117.86, 175.84 and 100.54

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Solution

The fourth proportional to 117.86, 175.84 and 100.54 is: 150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.86 : 175.84 = 100.54 : x
  2. Step 2: Convert to fraction form
    117.86/175.84 = 100.54/x
  3. Step 3: Cross multiply
    117.86x = 175.84 × 100.54
  4. Step 4: Simplify right side
    117.86x = 17,678.26
  5. Step 5: Solve for x
    x = 17,678.26/117.86
  6. Step 6: Final answer
    x = 150.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.