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Finding the Fourth Proportional to 142,706.25, 196,934.64 and 79,048.14

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Solution

The fourth proportional to 142,706.25, 196,934.64 and 79,048.14 is: 109,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,706.25 : 196,934.64 = 79,048.14 : x
  2. Step 2: Convert to fraction form
    142,706.25/196,934.64 = 79,048.14/x
  3. Step 3: Cross multiply
    142,706.25x = 196,934.64 × 79,048.14
  4. Step 4: Simplify right side
    142,706.25x = 15,567,316,993.57
  5. Step 5: Solve for x
    x = 15,567,316,993.57/142,706.25
  6. Step 6: Final answer
    x = 109,086.44

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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.