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Finding the Fourth Proportional to 141,483.63, 195,243.29 and 77,821.41

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Solution

The fourth proportional to 141,483.63, 195,243.29 and 77,821.41 is: 107,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,483.63 : 195,243.29 = 77,821.41 : x
  2. Step 2: Convert to fraction form
    141,483.63/195,243.29 = 77,821.41/x
  3. Step 3: Cross multiply
    141,483.63x = 195,243.29 × 77,821.41
  4. Step 4: Simplify right side
    141,483.63x = 15,194,108,120.84
  5. Step 5: Solve for x
    x = 15,194,108,120.84/141,483.63
  6. Step 6: Final answer
    x = 107,391.28

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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.