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Finding the Fourth Proportional to 100,208.34, 150,108.39 and 47,457.90

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Solution

The fourth proportional to 100,208.34, 150,108.39 and 47,457.90 is: 71,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,208.34 : 150,108.39 = 47,457.90 : x
  2. Step 2: Convert to fraction form
    100,208.34/150,108.39 = 47,457.90/x
  3. Step 3: Cross multiply
    100,208.34x = 150,108.39 × 47,457.90
  4. Step 4: Simplify right side
    100,208.34x = 7,123,828,961.78
  5. Step 5: Solve for x
    x = 7,123,828,961.78/100,208.34
  6. Step 6: Final answer
    x = 71,090.18

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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.