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Finding the Fourth Proportional to 142,464.70, 196,539.51 and 85,843.90

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Solution

The fourth proportional to 142,464.70, 196,539.51 and 85,843.90 is: 118,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,464.70 : 196,539.51 = 85,843.90 : x
  2. Step 2: Convert to fraction form
    142,464.70/196,539.51 = 85,843.90/x
  3. Step 3: Cross multiply
    142,464.70x = 196,539.51 × 85,843.90
  4. Step 4: Simplify right side
    142,464.70x = 16,871,718,042.49
  5. Step 5: Solve for x
    x = 16,871,718,042.49/142,464.70
  6. Step 6: Final answer
    x = 118,427.36

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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.