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Finding the Fourth Proportional to 72.64, 108.47 and 59.83

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Solution

The fourth proportional to 72.64, 108.47 and 59.83 is: 89.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.64 : 108.47 = 59.83 : x
  2. Step 2: Convert to fraction form
    72.64/108.47 = 59.83/x
  3. Step 3: Cross multiply
    72.64x = 108.47 × 59.83
  4. Step 4: Simplify right side
    72.64x = 6,489.51
  5. Step 5: Solve for x
    x = 6,489.51/72.64
  6. Step 6: Final answer
    x = 89.33

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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.