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Finding the Fourth Proportional to 123.64, 184.63 and 99.34

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Solution

The fourth proportional to 123.64, 184.63 and 99.34 is: 148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.64 : 184.63 = 99.34 : x
  2. Step 2: Convert to fraction form
    123.64/184.63 = 99.34/x
  3. Step 3: Cross multiply
    123.64x = 184.63 × 99.34
  4. Step 4: Simplify right side
    123.64x = 18,341.14
  5. Step 5: Solve for x
    x = 18,341.14/123.64
  6. Step 6: Final answer
    x = 148.34

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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.