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Finding the Fourth Proportional to 171,625.20, 257,437.80 and 145,705.20

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Solution

The fourth proportional to 171,625.20, 257,437.80 and 145,705.20 is: 218,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,625.20 : 257,437.80 = 145,705.20 : x
  2. Step 2: Convert to fraction form
    171,625.20/257,437.80 = 145,705.20/x
  3. Step 3: Cross multiply
    171,625.20x = 257,437.80 × 145,705.20
  4. Step 4: Simplify right side
    171,625.20x = 37,510,026,136.56
  5. Step 5: Solve for x
    x = 37,510,026,136.56/171,625.20
  6. Step 6: Final answer
    x = 218,557.80

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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.