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Finding the Fourth Proportional to 141,753, 195,619.14 and 78,090.78

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Solution

The fourth proportional to 141,753, 195,619.14 and 78,090.78 is: 107,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,753 : 195,619.14 = 78,090.78 : x
  2. Step 2: Convert to fraction form
    141,753/195,619.14 = 78,090.78/x
  3. Step 3: Cross multiply
    141,753x = 195,619.14 × 78,090.78
  4. Step 4: Simplify right side
    141,753x = 15,276,051,225.53
  5. Step 5: Solve for x
    x = 15,276,051,225.53/141,753
  6. Step 6: Final answer
    x = 107,765.28

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1.5x scale

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.