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Finding the Fourth Proportional to 142,839, 197,118 and 79,186.32

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Solution

The fourth proportional to 142,839, 197,118 and 79,186.32 is: 109,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,839 : 197,118 = 79,186.32 : x
  2. Step 2: Convert to fraction form
    142,839/197,118 = 79,186.32/x
  3. Step 3: Cross multiply
    142,839x = 197,118 × 79,186.32
  4. Step 4: Simplify right side
    142,839x = 15,609,049,025.76
  5. Step 5: Solve for x
    x = 15,609,049,025.76/142,839
  6. Step 6: Final answer
    x = 109,277.22

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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.