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Finding the Fourth Proportional to 172,838.61, 259,257.54 and 48,179.61

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Solution

The fourth proportional to 172,838.61, 259,257.54 and 48,179.61 is: 72,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,838.61 : 259,257.54 = 48,179.61 : x
  2. Step 2: Convert to fraction form
    172,838.61/259,257.54 = 48,179.61/x
  3. Step 3: Cross multiply
    172,838.61x = 259,257.54 × 48,179.61
  4. Step 4: Simplify right side
    172,838.61x = 12,490,927,166.76
  5. Step 5: Solve for x
    x = 12,490,927,166.76/172,838.61
  6. Step 6: Final answer
    x = 72,269.31

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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.