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Finding the Fourth Proportional to 101,471.72, 152,164.76 and 30,404.45

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Solution

The fourth proportional to 101,471.72, 152,164.76 and 30,404.45 is: 45,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,471.72 : 152,164.76 = 30,404.45 : x
  2. Step 2: Convert to fraction form
    101,471.72/152,164.76 = 30,404.45/x
  3. Step 3: Cross multiply
    101,471.72x = 152,164.76 × 30,404.45
  4. Step 4: Simplify right side
    101,471.72x = 4,626,484,924.34
  5. Step 5: Solve for x
    x = 4,626,484,924.34/101,471.72
  6. Step 6: Final answer
    x = 45,593.84

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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.