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Finding the Fourth Proportional to 103,767, 143,144.30 and 65,512.80

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Solution

The fourth proportional to 103,767, 143,144.30 and 65,512.80 is: 90,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,767 : 143,144.30 = 65,512.80 : x
  2. Step 2: Convert to fraction form
    103,767/143,144.30 = 65,512.80/x
  3. Step 3: Cross multiply
    103,767x = 143,144.30 × 65,512.80
  4. Step 4: Simplify right side
    103,767x = 9,377,783,569.48
  5. Step 5: Solve for x
    x = 9,377,783,569.48/103,767
  6. Step 6: Final answer
    x = 90,373.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.