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Finding the Fourth Proportional to 125,354.86, 172,992.05 and 76,932.51

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Solution

The fourth proportional to 125,354.86, 172,992.05 and 76,932.51 is: 106,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,354.86 : 172,992.05 = 76,932.51 : x
  2. Step 2: Convert to fraction form
    125,354.86/172,992.05 = 76,932.51/x
  3. Step 3: Cross multiply
    125,354.86x = 172,992.05 × 76,932.51
  4. Step 4: Simplify right side
    125,354.86x = 13,308,712,231.88
  5. Step 5: Solve for x
    x = 13,308,712,231.88/125,354.86
  6. Step 6: Final answer
    x = 106,168.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.