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Finding the Fourth Proportional to 172,644.94, 258,926.40 and 65,989.74

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Solution

The fourth proportional to 172,644.94, 258,926.40 and 65,989.74 is: 98,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,644.94 : 258,926.40 = 65,989.74 : x
  2. Step 2: Convert to fraction form
    172,644.94/258,926.40 = 65,989.74/x
  3. Step 3: Cross multiply
    172,644.94x = 258,926.40 × 65,989.74
  4. Step 4: Simplify right side
    172,644.94x = 17,086,485,815.14
  5. Step 5: Solve for x
    x = 17,086,485,815.14/172,644.94
  6. Step 6: Final answer
    x = 98,968.93

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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.