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Finding the Fourth Proportional to 101,786, 140,464.68 and 57,074

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Solution

The fourth proportional to 101,786, 140,464.68 and 57,074 is: 78,762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,786 : 140,464.68 = 57,074 : x
  2. Step 2: Convert to fraction form
    101,786/140,464.68 = 57,074/x
  3. Step 3: Cross multiply
    101,786x = 140,464.68 × 57,074
  4. Step 4: Simplify right side
    101,786x = 8,016,881,146.32
  5. Step 5: Solve for x
    x = 8,016,881,146.32/101,786
  6. Step 6: Final answer
    x = 78,762.12

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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.