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Finding the Fourth Proportional to 171,985.20, 258,002.10 and 53,644.20

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Solution

The fourth proportional to 171,985.20, 258,002.10 and 53,644.20 is: 80,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,985.20 : 258,002.10 = 53,644.20 : x
  2. Step 2: Convert to fraction form
    171,985.20/258,002.10 = 53,644.20/x
  3. Step 3: Cross multiply
    171,985.20x = 258,002.10 × 53,644.20
  4. Step 4: Simplify right side
    171,985.20x = 13,840,316,252.82
  5. Step 5: Solve for x
    x = 13,840,316,252.82/171,985.20
  6. Step 6: Final answer
    x = 80,473.88

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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.