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Finding the Fourth Proportional to 125,095, 172,631.64 and 80,383

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Solution

The fourth proportional to 125,095, 172,631.64 and 80,383 is: 110,928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,095 : 172,631.64 = 80,383 : x
  2. Step 2: Convert to fraction form
    125,095/172,631.64 = 80,383/x
  3. Step 3: Cross multiply
    125,095x = 172,631.64 × 80,383
  4. Step 4: Simplify right side
    125,095x = 13,876,649,118.12
  5. Step 5: Solve for x
    x = 13,876,649,118.12/125,095
  6. Step 6: Final answer
    x = 110,928.89

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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.