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Finding the Fourth Proportional to 105,212.80, 157,761.60 and 42,812.80

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Solution

The fourth proportional to 105,212.80, 157,761.60 and 42,812.80 is: 64,195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,212.80 : 157,761.60 = 42,812.80 : x
  2. Step 2: Convert to fraction form
    105,212.80/157,761.60 = 42,812.80/x
  3. Step 3: Cross multiply
    105,212.80x = 157,761.60 × 42,812.80
  4. Step 4: Simplify right side
    105,212.80x = 6,754,215,828.48
  5. Step 5: Solve for x
    x = 6,754,215,828.48/105,212.80
  6. Step 6: Final answer
    x = 64,195.76

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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.