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Finding the Fourth Proportional to 76,230.56, 105,162.88 and 49,381.92

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Solution

The fourth proportional to 76,230.56, 105,162.88 and 49,381.92 is: 68,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,230.56 : 105,162.88 = 49,381.92 : x
  2. Step 2: Convert to fraction form
    76,230.56/105,162.88 = 49,381.92/x
  3. Step 3: Cross multiply
    76,230.56x = 105,162.88 × 49,381.92
  4. Step 4: Simplify right side
    76,230.56x = 5,193,144,927.13
  5. Step 5: Solve for x
    x = 5,193,144,927.13/76,230.56
  6. Step 6: Final answer
    x = 68,124.19

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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.