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Finding the Fourth Proportional to 254,420.16, 381,805.21 and 88,208.16

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Solution

The fourth proportional to 254,420.16, 381,805.21 and 88,208.16 is: 132,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,420.16 : 381,805.21 = 88,208.16 : x
  2. Step 2: Convert to fraction form
    254,420.16/381,805.21 = 88,208.16/x
  3. Step 3: Cross multiply
    254,420.16x = 381,805.21 × 88,208.16
  4. Step 4: Simplify right side
    254,420.16x = 33,678,333,731.00
  5. Step 5: Solve for x
    x = 33,678,333,731.00/254,420.16
  6. Step 6: Final answer
    x = 132,372.90

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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.