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Finding the Fourth Proportional to 102,174.75, 154,221.81 and 102,174.75

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Solution

The fourth proportional to 102,174.75, 154,221.81 and 102,174.75 is: 154,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,174.75 : 154,221.81 = 102,174.75 : x
  2. Step 2: Convert to fraction form
    102,174.75/154,221.81 = 102,174.75/x
  3. Step 3: Cross multiply
    102,174.75x = 154,221.81 × 102,174.75
  4. Step 4: Simplify right side
    102,174.75x = 15,757,574,881.30
  5. Step 5: Solve for x
    x = 15,757,574,881.30/102,174.75
  6. Step 6: Final answer
    x = 154,221.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.