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Finding the Fourth Proportional to 172,530.56, 258,992.76 and 115,646.78

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Solution

The fourth proportional to 172,530.56, 258,992.76 and 115,646.78 is: 173,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,530.56 : 258,992.76 = 115,646.78 : x
  2. Step 2: Convert to fraction form
    172,530.56/258,992.76 = 115,646.78/x
  3. Step 3: Cross multiply
    172,530.56x = 258,992.76 × 115,646.78
  4. Step 4: Simplify right side
    172,530.56x = 29,951,678,737.31
  5. Step 5: Solve for x
    x = 29,951,678,737.31/172,530.56
  6. Step 6: Final answer
    x = 173,602.16

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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.