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Finding the Fourth Proportional to 123.10, 184.71 and 51.01

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Solution

The fourth proportional to 123.10, 184.71 and 51.01 is: 76.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.10 : 184.71 = 51.01 : x
  2. Step 2: Convert to fraction form
    123.10/184.71 = 51.01/x
  3. Step 3: Cross multiply
    123.10x = 184.71 × 51.01
  4. Step 4: Simplify right side
    123.10x = 9,421.13
  5. Step 5: Solve for x
    x = 9,421.13/123.10
  6. Step 6: Final answer
    x = 76.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.