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Finding the Fourth Proportional to 142,419.74, 196,479.88 and 81,975.92

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Solution

The fourth proportional to 142,419.74, 196,479.88 and 81,975.92 is: 113,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,419.74 : 196,479.88 = 81,975.92 : x
  2. Step 2: Convert to fraction form
    142,419.74/196,479.88 = 81,975.92/x
  3. Step 3: Cross multiply
    142,419.74x = 196,479.88 × 81,975.92
  4. Step 4: Simplify right side
    142,419.74x = 16,106,617,737.15
  5. Step 5: Solve for x
    x = 16,106,617,737.15/142,419.74
  6. Step 6: Final answer
    x = 113,092.60

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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.