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Finding the Fourth Proportional to 105.64, 145.85 and 87.26

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Solution

The fourth proportional to 105.64, 145.85 and 87.26 is: 120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.64 : 145.85 = 87.26 : x
  2. Step 2: Convert to fraction form
    105.64/145.85 = 87.26/x
  3. Step 3: Cross multiply
    105.64x = 145.85 × 87.26
  4. Step 4: Simplify right side
    105.64x = 12,726.87
  5. Step 5: Solve for x
    x = 12,726.87/105.64
  6. Step 6: Final answer
    x = 120.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.