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Finding the Fourth Proportional to 100,178.51, 138,244.54 and 54,855.67

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Solution

The fourth proportional to 100,178.51, 138,244.54 and 54,855.67 is: 75,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178.51 : 138,244.54 = 54,855.67 : x
  2. Step 2: Convert to fraction form
    100,178.51/138,244.54 = 54,855.67/x
  3. Step 3: Cross multiply
    100,178.51x = 138,244.54 × 54,855.67
  4. Step 4: Simplify right side
    100,178.51x = 7,583,496,865.54
  5. Step 5: Solve for x
    x = 7,583,496,865.54/100,178.51
  6. Step 6: Final answer
    x = 75,699.84

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1.5x scale

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.