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Finding the Fourth Proportional to 100,379.76, 138,524.76 and 55,670.64

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Solution

The fourth proportional to 100,379.76, 138,524.76 and 55,670.64 is: 76,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,379.76 : 138,524.76 = 55,670.64 : x
  2. Step 2: Convert to fraction form
    100,379.76/138,524.76 = 55,670.64/x
  3. Step 3: Cross multiply
    100,379.76x = 138,524.76 × 55,670.64
  4. Step 4: Simplify right side
    100,379.76x = 7,711,762,045.05
  5. Step 5: Solve for x
    x = 7,711,762,045.05/100,379.76
  6. Step 6: Final answer
    x = 76,825.87

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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.