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Finding the Fourth Proportional to 142,117.40, 196,135.41 and 81,723.41

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Solution

The fourth proportional to 142,117.40, 196,135.41 and 81,723.41 is: 112,786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,117.40 : 196,135.41 = 81,723.41 : x
  2. Step 2: Convert to fraction form
    142,117.40/196,135.41 = 81,723.41/x
  3. Step 3: Cross multiply
    142,117.40x = 196,135.41 × 81,723.41
  4. Step 4: Simplify right side
    142,117.40x = 16,028,854,526.95
  5. Step 5: Solve for x
    x = 16,028,854,526.95/142,117.40
  6. Step 6: Final answer
    x = 112,786.01

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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.