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Finding the Fourth Proportional to 100,176.50, 138,247.89 and 55,464.50

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Solution

The fourth proportional to 100,176.50, 138,247.89 and 55,464.50 is: 76,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176.50 : 138,247.89 = 55,464.50 : x
  2. Step 2: Convert to fraction form
    100,176.50/138,247.89 = 55,464.50/x
  3. Step 3: Cross multiply
    100,176.50x = 138,247.89 × 55,464.50
  4. Step 4: Simplify right side
    100,176.50x = 7,667,850,094.91
  5. Step 5: Solve for x
    x = 7,667,850,094.91/100,176.50
  6. Step 6: Final answer
    x = 76,543.40

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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.