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Finding the Fourth Proportional to 142,044.84, 196,020 and 78,381

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Solution

The fourth proportional to 142,044.84, 196,020 and 78,381 is: 108,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,044.84 : 196,020 = 78,381 : x
  2. Step 2: Convert to fraction form
    142,044.84/196,020 = 78,381/x
  3. Step 3: Cross multiply
    142,044.84x = 196,020 × 78,381
  4. Step 4: Simplify right side
    142,044.84x = 15,364,243,620
  5. Step 5: Solve for x
    x = 15,364,243,620/142,044.84
  6. Step 6: Final answer
    x = 108,164.74

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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.