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Finding the Fourth Proportional to 142,980.78, 197,304.18 and 79,318.42

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Solution

The fourth proportional to 142,980.78, 197,304.18 and 79,318.42 is: 109,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,980.78 : 197,304.18 = 79,318.42 : x
  2. Step 2: Convert to fraction form
    142,980.78/197,304.18 = 79,318.42/x
  3. Step 3: Cross multiply
    142,980.78x = 197,304.18 × 79,318.42
  4. Step 4: Simplify right side
    142,980.78x = 15,649,855,817.00
  5. Step 5: Solve for x
    x = 15,649,855,817.00/142,980.78
  6. Step 6: Final answer
    x = 109,454.26

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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.