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Finding the Fourth Proportional to 142,053.40, 196,027.02 and 81,581.40

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Solution

The fourth proportional to 142,053.40, 196,027.02 and 81,581.40 is: 112,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,053.40 : 196,027.02 = 81,581.40 : x
  2. Step 2: Convert to fraction form
    142,053.40/196,027.02 = 81,581.40/x
  3. Step 3: Cross multiply
    142,053.40x = 196,027.02 × 81,581.40
  4. Step 4: Simplify right side
    142,053.40x = 15,992,158,729.43
  5. Step 5: Solve for x
    x = 15,992,158,729.43/142,053.40
  6. Step 6: Final answer
    x = 112,578.50

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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.