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Finding the Fourth Proportional to 142,487.88, 196,635.12 and 82,069.12

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Solution

The fourth proportional to 142,487.88, 196,635.12 and 82,069.12 is: 113,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,487.88 : 196,635.12 = 82,069.12 : x
  2. Step 2: Convert to fraction form
    142,487.88/196,635.12 = 82,069.12/x
  3. Step 3: Cross multiply
    142,487.88x = 196,635.12 × 82,069.12
  4. Step 4: Simplify right side
    142,487.88x = 16,137,671,259.49
  5. Step 5: Solve for x
    x = 16,137,671,259.49/142,487.88
  6. Step 6: Final answer
    x = 113,256.45

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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.