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Finding the Fourth Proportional to 105,350.80, 157,795.80 and 81,792.40

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Solution

The fourth proportional to 105,350.80, 157,795.80 and 81,792.40 is: 122,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,350.80 : 157,795.80 = 81,792.40 : x
  2. Step 2: Convert to fraction form
    105,350.80/157,795.80 = 81,792.40/x
  3. Step 3: Cross multiply
    105,350.80x = 157,795.80 × 81,792.40
  4. Step 4: Simplify right side
    105,350.80x = 12,906,497,191.92
  5. Step 5: Solve for x
    x = 12,906,497,191.92/105,350.80
  6. Step 6: Final answer
    x = 122,509.72

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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.