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Finding the Fourth Proportional to 258,122.56, 387,284 and 100,461.76

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Solution

The fourth proportional to 258,122.56, 387,284 and 100,461.76 is: 150,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,122.56 : 387,284 = 100,461.76 : x
  2. Step 2: Convert to fraction form
    258,122.56/387,284 = 100,461.76/x
  3. Step 3: Cross multiply
    258,122.56x = 387,284 × 100,461.76
  4. Step 4: Simplify right side
    258,122.56x = 38,907,232,259.84
  5. Step 5: Solve for x
    x = 38,907,232,259.84/258,122.56
  6. Step 6: Final answer
    x = 150,731.62

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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.