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Finding the Fourth Proportional to 105,210.25, 157,890.81 and 71,391.94

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Solution

The fourth proportional to 105,210.25, 157,890.81 and 71,391.94 is: 107,139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,210.25 : 157,890.81 = 71,391.94 : x
  2. Step 2: Convert to fraction form
    105,210.25/157,890.81 = 71,391.94/x
  3. Step 3: Cross multiply
    105,210.25x = 157,890.81 × 71,391.94
  4. Step 4: Simplify right side
    105,210.25x = 11,272,131,234.07
  5. Step 5: Solve for x
    x = 11,272,131,234.07/105,210.25
  6. Step 6: Final answer
    x = 107,139.10

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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.