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Finding the Fourth Proportional to 105,217.80, 157,769.10 and 42,817.80

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Solution

The fourth proportional to 105,217.80, 157,769.10 and 42,817.80 is: 64,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,217.80 : 157,769.10 = 42,817.80 : x
  2. Step 2: Convert to fraction form
    105,217.80/157,769.10 = 42,817.80/x
  3. Step 3: Cross multiply
    105,217.80x = 157,769.10 × 42,817.80
  4. Step 4: Simplify right side
    105,217.80x = 6,755,325,769.98
  5. Step 5: Solve for x
    x = 6,755,325,769.98/105,217.80
  6. Step 6: Final answer
    x = 64,203.26

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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.