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Finding the Fourth Proportional to 105,469.80, 157,974.30 and 81,911.40

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Solution

The fourth proportional to 105,469.80, 157,974.30 and 81,911.40 is: 122,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,469.80 : 157,974.30 = 81,911.40 : x
  2. Step 2: Convert to fraction form
    105,469.80/157,974.30 = 81,911.40/x
  3. Step 3: Cross multiply
    105,469.80x = 157,974.30 × 81,911.40
  4. Step 4: Simplify right side
    105,469.80x = 12,939,896,077.02
  5. Step 5: Solve for x
    x = 12,939,896,077.02/105,469.80
  6. Step 6: Final answer
    x = 122,688.16

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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.