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Finding the Fourth Proportional to 99.83, 137.64 and 64.81

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Solution

The fourth proportional to 99.83, 137.64 and 64.81 is: 89.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.83 : 137.64 = 64.81 : x
  2. Step 2: Convert to fraction form
    99.83/137.64 = 64.81/x
  3. Step 3: Cross multiply
    99.83x = 137.64 × 64.81
  4. Step 4: Simplify right side
    99.83x = 8,920.86
  5. Step 5: Solve for x
    x = 8,920.86/99.83
  6. Step 6: Final answer
    x = 89.36

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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.