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Finding the Fourth Proportional to 105,257.88, 157,897.32 and 30,379.84

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Solution

The fourth proportional to 105,257.88, 157,897.32 and 30,379.84 is: 45,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,257.88 : 157,897.32 = 30,379.84 : x
  2. Step 2: Convert to fraction form
    105,257.88/157,897.32 = 30,379.84/x
  3. Step 3: Cross multiply
    105,257.88x = 157,897.32 × 30,379.84
  4. Step 4: Simplify right side
    105,257.88x = 4,796,895,318.03
  5. Step 5: Solve for x
    x = 4,796,895,318.03/105,257.88
  6. Step 6: Final answer
    x = 45,572.79

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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.